I decided to start out by looking at the first entry in Enchiridion for each of the translators to see if I could start narrowing it down.
Walton:
Some things we can control, some we can’t. We can control our attitudes, opinions, goals and desires – choices of our own. We can’t control health, wealth, fame or power – things we can’t have by choosing them.
I don't like the use of health here, since it is (to an extent) under our control. Eat right, sleep well, exercise, etc. I don't know if that's a quirk of this particular translation or in the original. On the other hand, I'm not sure I believe we have a ton of control over our desires.
Oldfather:
Some things are under our control, while others are not under our control. Under our control are conception, choice, desire, aversion, and, in a word, everything that is our own doing; not under our control are our body, our property, reputation, office, and, in a word, everything that is not our own doing.
Adds an entire extra category (aversion) and switches health to body, which is a bit better.
Matheson:
Of all existing things some are in our power, and others are not in our power. In our power are thought, impulse, will to get and will to avoid, and, in a word, everything which is our own doing. Things not in our power include the body, property, reputation, office, and, in a word, everything which is not our own doing
Pretty similar to Oldfather.
Long:
Of things some are in our power, and others are not. In our power are opinion, movement toward a thing, desire, aversion (turning from a thing); and in a word, whatever are our own acts: not in our power are the body, property, reputation, offices (magisterial power), and in a word, whatever are not our own acts.
That's some impressively weird construction with all the parenthesis and colons.
Rolleston:
Of things that exist, some depend upon ourselves, others do not depend upon ourselves. Of things that depend upon ourselves are our opinions and impulses, desires and aversions, and, briefly, all that is of our own doing. Of things that do not depend upon ourselves are the body, possessions, reputation, civil authority, and, briefly, all that is not of our own doing.
Kinda wordy.
Higginson:
There are things which are within our power, and there are things which are beyond our power. Within our power are opinion, aim, desire, aversion, and, in one word, whatever affairs are our own. Beyond our power are body, property, reputation, office, and, in one word, whatever are not properly our own affairs.
Carter:
Some things are in our control and others not. Things in our control are opinion, pursuit, desire, aversion, and, in a word, whatever are our own actions. Things not in our control are body, property, reputation, command, and, in one word, whatever are not our own actions.
These two are pretty samey.
I'm going to start by eliminating Walton (overlaps with Carter and Higginson, but seems less accurate), Long (weird construction), and Rolleston (wordy.)
That leaves: Oldfather, Matheson, Higginson, and Carter. They pair off nicely, so I'll read the next bit for each pair and go from there.
Oldfather:
Furthermore, the things under our control are by nature free, unhindered, and unimpeded; while the things not under our control are weak, servile, subject to hindrance, and not our own. Remember, therefore, that if what is naturally slavish you think to be free, and what is not your own to be your own, you will be hampered, will grieve, will be in turmoil, and will blame both gods and men; while if you think only what is your own to be your own, and what is not your own to be, as it really is, not your own, then no one will ever be able to exert compulsion upon you, no one will hinder you, you will blame no one, will find fault with no one, will do absolutely nothing against your will, you will have no personal enemy, no one will harm you, for neither is there any harm that can touch you.
Again, this seems kind of hair-splittish that our desires, etc. are totally free while our body and property are servile.
Matheson:
Things in our power are by nature free, unhindered, untrammelled; things not in our power are weak, servile, subject to hindrance, dependent on others. Remember then that if you imagine that what is naturally slavish is free, and what is naturally another’s is your own, you will be hampered, you will mourn, you will be put to confusion, you will blame gods and men; but if you think that only your own belongs to you, and that what is another’s is indeed another’s, no one will ever put compulsion or hindrance on you, you will blame none, you will accuse none, you will do nothing against your will, no one will harm you, you will have no enemy, for no harm can touch you.
I think I like Oldfather's a bit better (grieve vs mourn) but they're pretty similar.
Higginson:
Now, the things within our power are by nature free, unrestricted, unhindered; but those beyond our power are weak, dependent, restricted, alien. Remember, then, that if you attribute freedom to things by nature dependent, and take what belongs to others for your own, you will be hindered, you will lament, you will be disturbed, you will find fault both with gods and men. But if you take for your own only that which is your own, and view what belongs to others just as it really is, then no one will ever compel you, no one will restrict you, you will find fault with no one, you will accuse no one, you will do nothing against your will; no one will hurt you, you will not have an enemy, nor will you suffer any harm.
Overall, I like this a lot better than the other pair. Dependent vs servile seems better. In general the whole thing is a big cleaner.
Carter:
The things in our control are by nature free, unrestrained, unhindered; but those not in our control are weak, slavish, restrained, belonging to others. Remember, then, that if you suppose that things which are slavish by nature are also free, and that what belongs to others is your own, then you will be hindered. You will lament, you will be disturbed, and you will find fault both with gods and men. But if you suppose that only to be your own which is your own, and what belongs to others such as it really is, then no one will ever compel you or restrain you. Further, you will find fault with no one or accuse no one. You will do nothing against your will. No one will hurt you, you will have no enemies, and you not be harmed.
Again, similar, but Higginson's phrasing is cleaner and a bit more active.
So, for the time being, I'm going to focus on Higginson, Carter, and Oldfather as my base 3 (since that's how many the site supports at a time) and narrow it from there.