25NL: TT 300bbs deep IP VS LAG

Im learning to play deepstacked and I got pretty lost with this one. This hand came up 300bbs deep a little over an hour into the session. Everyone at the table has been here over 100 hands.

Villain is a 39/31/9AF with 58 % steal. He has 3bet twice in just over 100 hands, neither time against me, but its been a pretty loose passive table so he hasnt had a lot of opportunities to 3bet light and I still get the feeling he could be playing back here since its omgblindsteal. We havn't played any big pots yet and I didn't see how he got his stack. I havn't been overboard stealing with trash since SB is a big fish.

His bet sizing looks so milky/blocky. He probably cbets 100% of his range which will include overpairs/ broadway flushdraws, probably some Axs flushdraws and 9Ts, 89s, 78s , 67s as well as underpairs and missed crap.

I feel really SA/WB on the flop and don't really know what he can barrel this size that I beat on the turn when so few hands are folding on this board. Thoughts would be appreciated.

PokerStars No-Limit Hold'em, $0.25 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com
UTG ($92.90)
MP ($56.35)
CO ($25.87)
Hero (Button) ($111.88)
SB ($60.41)
BB ($77.36)
Preflop: Hero is Button with 10, 10
3 folds, Hero bets $0.75, 1 fold, BB raises to $2.75, Hero calls $2

Flop: ($5.90) 7, 9, 9 (2 players)
BB bets $3.25, Hero calls $3.25

Turn: ($12.40) 5 (2 players)
BB bets $5.75, Hero ....?