A 4-bet pot out of position

Villain is 18/16/3.5, 3-bets 7% of the time and cold calls 0.9%. Had notes on him from a prior session that he 3-bet me relentlessly in position, and this session, he's already done it a couple times and I'd folded (and he'd also folded to my raises a few times).

Full Tilt Poker $0.50/$1 No Limit Hold'em - 6 players
The Official DeucesCracked.com Hand History Converter

SB: $104.00
BB: $103.00
UTG: $136.00
MP: $139.70
Hero (CO): $192.90
BTN: $127.05

Pre Flop: Hero is CO with Jc Ac
2 folds, Hero raises to $3.50, BTN raises to $12, 2 folds, Hero raises to $32, BTN calls $20

Flop: ($65.50) 2c Tc 9s (2 players)
Hero checks, BTN bets $35, Hero raises to $160.90 all in

Preflop, my plan was to fold to a shove. His 3-betting range is really wide, but I'm assuming I'm pretty far behind his shoving range. I've been trying to incorporate some bluff 4-bets, and so my 4-bet size has gotten smaller if I don't shove, but I don't vary my bet sizes between bluffs and value against regs.
I was a little surprised by his call (thought he would either fold or shove). I guess he should have a big hand here, although he's a loser over 8000 hands, so it is possible he's not that good and may be calling with worse hands. Or, being so aggressive, is just looking to take it away from me on the flop. But let's give him TT+ as a range and assume we're playing for stacks. If that's the case, I've got enough pot equity (I need about 35% and I've got about 43%). So, I shouldn't mind playing for stacks if it comes to that.
There are a couple lines to take here: bet/call or CRAI. His flop aggression factor is like 6. Let's look at some of his possible hands:

• Set, 2-pair, or premium pair that smooth called preflop: either line stacks are going in, as I assume he bets these. I guess he might check back a set (I might do that in his shoes), but then I get a free card to hit my draw. And also, he strikes me as overaggro, so I think he's probably betting. C-bet or CRAI doesn't make much difference.
• QQ, JJ, Tx, 9x: I think I actually have more fold equity (not that there's a ton) taking the CRAI line. Yeah, he's going to be tied to the pot, but the CRAI looks so strongly like he's crushed, that he might fold to it, plus I get an extra bet. On the other hand, he might have called QQ, maybe JJ, looking to shove if I bet a non-ace, non-king flop. I don't think it makes a ton of difference, but in general putting in the shove gives more FE than putting in a bet, so I think CRAI is the play here. Again, he's really aggressive on the flop, so I don't think he'll check behind, but again, if he does, it gives me a chance to outdraw him.
• Lower pocket pairs: I think betting is a little better here. If he made the call with a low pocket pair, he's probably looking to hit his set or fold...it will be pretty tough for him to call a c-bet. Given this is a 4-bet pot, this is a small part of his range.
• Draws: Again, he shouldn't be showing up with draws here in a 4-bet pot, but people are surprising. I like CRAI for draws, as he gets tied to the pot, but I'm actually ahead if he's on a draw.
• Air: Not a huge part of his range, but there is a nonzero chance he's making a play, given I've let him push me around by folding to his 3-bets so far over a couple sessions. If he has air, he's most likely bet/folding if I check, so I like CRAI.

So, overall, I'm OK with the CRAI line I took, mostly because he is really aggressive and will bet for me, so overall I get more FE taking my strong line, and I've got pot equity to back me up in case he calls. But I think it's kind of close. I'm really more concerned about the analysis. To be honest, at game time I was giving more weight to draws and air than I do now looking back on it. I believe in game time, I was approaching this more as a 3-bet pot than a 4-bet pot, so the scales tipped a little more to CRAI than they do now.