[5NL] AKo in BB deep, 3b pot facing flop raise

[Mury]

SB: $21.25 (425 bb)
Hero (BB): $13.16 (263.2 bb)
MP: $12.52 (250.4 bb)
CO: $5 (100 bb)
BTN: $12.50 (250 bb) {46/38, this is the second 3bet he hasn't folded to (he 4b last time), first raise CB, 13 hands}

Preflop: Hero is BB with A K
2 folds, BTN raises to $0.20, SB folds, Hero raises to $0.60, BTN calls $0.40

Flop: ($1.27) 2 T A (2 players)
Hero bets $0.98, BTN raises to $2.41, Hero ??


Basically an opponent range check here.


Board: AhTs2s
Equity Win Tie
BU 52.59% 46.61% 5.98% { TT, 22, AQs+, ATs, A2s, KsQs, AsJs, KsJs, QsJs, As9s, As8s, As7s, As6s, As5s, As4s, As3s, ATo+, A2o }
Hero 47.41% 41.42% 5.98% { AdKh }


Jamming can't be good because that'll fold out a lot of stuff we beat. Calling our best option and c/eval turn? We'll have a better idea what kind of equity his range has OTT. Though we don't like like half the cards in the deck...

Thoughts?