I haven't given up hope that Rand will seek Perrin and Mat in turn in TOM, as part of a circuit of meetings with people he cares for. I wouldn't be too surprised toward the end, Rand goes to one than the other, and suddenly wants to spend "quality time" with each of them, perhaps even insist the three of them must get together, because TG is about to start and this may be their last opportunity to spend an evening together, like in the old days. If such a thing happen, I'm guessing it would be extremely ackward at first, with Perrin and Mat believing this time this is it and Rand has completely lost it.... at least until they figure out he's in better mental/moral shape than ever after what happened on DM.

Well.. maybe that won't happen quite this way, but I certainly expect Rand to face some of the consequences of what he went through since LOC or so. He will want to spend "good times" with people he loves, but sadly he will have to face the fact he's massively undermined almost all his relationships through the series. Rand probably knows this all too well, and the relationshp that suffered the least (because they barely had time together) is the one he shares with Elayne, which makes me think she may be the first one he goes to, and the one he opens his heart to about his fears he's antagonized and lost everyone else, and how to gain them back before TG.