Hero (SB): $426 (106.5 bb)
BB: $488.83 (122.2 bb)
MP: $491 (122.8 bb)
CO: $795.10 (198.8 bb)
BTN: $686.91 (171.7 bb)

Preflop: Hero is SB with Jh Ad
MP folds, CO raises to $12, BTN folds, Hero raises to $40, BB folds, CO calls $28

Flop: ($84) 8h Jd 6d (2 players)
Hero bets $48, CO calls $48

Turn: ($180) 7s (2 players)

Villain is 27/21 breakevenish reg. 56% foldto3b and 60% foldtocbet (not 3bet pot).

I'm not sure how to proceed on this turn card. I block a bunch of flush draws that he may have, T9s got there, 87s got there, and I can't see myself betting turn and getting called by worse much often aside from the occassional KJ/QJs/JTs.

If I check, the only hands I can see that bluff me off my hand is QTs or perhaps a floated KdQx although that's unlikely. If I do bet, get called, and a blank hits the river, I'm still lost as to the best line vs this opponent since I don't think he's calling me down with worse on this  board.

Any help with a line idea would be appreciated.