[sblock=my new theory]Ok, I think twilsemail was either incredibly close or possibly spot-on. Excellent work!
I'm guessing that these runes blow you in a direction (wind-related like the poem says), and the direction is based on the rune. So memu is, in fact, "left". twilsemail's original theory was, for those who don't want to backtrack:
Ne(A18)= Right
Ka(B18)= Down
Ro(F18)= Neutral
Memu (J18)= Left
Sad (E19)= Up
I'm also guessing that the "trap" nature of this puzzle is that you might be blown into a pit or into a column, both of which probably do damage.
So, I think twilsemail was right in that you have 4 directions and one "non"-rune, which doesn't do anything. I think he's right again in that "ro" is that rune. The remaining question is whether they push you a set amount, it's random, or until you hit a ro rune. Not sure if it matters unless we get off the pattern, though.
Additionally, I suspect the "one-rune" runes are "opposite" runes - that's my programmer background showing through, but I think those are !runes. So for example, E21 would be a !memu, which may blow to the right. Since the last rune before the end is one of these, we may have to find out.
Ok! So now that we have spent the better part of a week guessing all this out, I think I will go with our first plan and try to jump from ro rune to ro rune. At the very least, that should quickly prove our theory as to whether or not ro is a neutral rune.

Next stop: F18![/sblock]
After being moved by the rune and then taking a moment to get his barrings, Unit 16 calls back to the others to let them know what happened. Deciding that jumping is best at this point, he removes his giant shield from his arm and slings it around his back - revealing as he does a giant dragonmark of warding on his left forearm. The size and unusual nature of this mark are striking to anyone looking on, and those who see it and put two and two together would realize that he has never removed his shield before in mixed company.
With the bulk of his shield out of the way, he may now move more easily. He takes aim at the next square-shaped rune and jumps - landing easily in his intended square.
[sblock=ooc]Jump to F18:
25. (I said "G20" in the roll, but I forgot that I actually want to keep moving across so I can make the smallest jumps possible. Let me know if that's a problem.)
As per the earlier discussion, I believe this means he can jump to F18 without a problem (25 / 10 = 2.5, voluntarily rounded down to 2)
I will wait to see what happens next before moving again!

Hopefully we didn't miscalculate and a pit is in my future...[/sblock]