Sample size is pretty important with respect to the 3betting, especially by position. I seriously doubt he 3bets that much on the button over a large sample; I've yet to find a regular who does in my games, nevermind the fact that he's pretty nitty otherwise.
If it is accurate (read: sample is more than a thousand hands or so), there's something to be said about stacking AQs preflop, but that depends on his fold to 4bet stat.
As played, postflop is usually a c/c since by c/r we're giving him the chance to fold AT and 99 and stuff, whereas he may continue to bluff/value bet if we c/c. Also, it's not guaranteed he has AT/AJ etc in his range. Just saying he's a %20 3bettor doesn't mean he 3bets the top
%20 of hands. He could be in there strictly with value hands (JJ+/AQs+ or even only AK), and bluffs/semibluffs (67s/22/etc), which would lean our decision to a c/c to let him barrel his bluffing
Regarding him stacking QQ-TT, well that's just not going to happen. Not often at least. He #1 may not cbet it and #2 probably won't stack when c/raised, which makes the line of both #1 and
#2 even less likely.
With that kind of 3bet we can't let go of TP here, but how we play it is important.