[LouisCyphre]

If villain has 54,33,22 we have 13 outs are getting the right odds to at least call. I'd disregard 66. He could have QQ, of course, but even then we have 9 outs and I doubt he can fold his top set to a river bet.
That leaves only the question to push or not to push. After playing tight for 25 minutes I doubt villain will feel antsy all of a sudden and go crazy with a semi-bluff check-raise on the turn with let's say As4s or even AsKs. But he could genuinely be thinking his hand is best with AQ,KQ,AA,KK. The problem is those aren't limping hands but villain might have been trying to trap the LAG-Hero.
If we think we can safely fold to a river bet, I'd say call plus fold river unimproved. If we intend to call the river just push it now. As ikestoys said,it's a blind war and top two pair plus flush draw is pretty much a monster.