Played this hand some days ago. Stakes are not correct. Actual stakes are similar to nl100$

Villain is a reg who calls to many 4bets and likes to play back vs me. I usually don't 4bet theese type of hands but decided to add a few combos for board coverage.

Boss, $2.50/$5 No Limit Hold'em Cash, 5 Players

Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite. 

MP: $470.63 (94.1 bb)

Hero (CO): $1,021.87 (204.4 bb)

BTN: $1,893.65 (378.7 bb)

SB: $1,023.99 (204.8 bb)

BB: $210 (42 bb)

Preflop: Hero is CO with 7s 6s

MP folds, Hero raises to $15, BTN raises to $40, 2 folds, Hero raises to $100, BTN calls $60

Flop: ($207.50) 6h 7c Th (2 players)

Hero bets $135, BTN calls $135

Turn: ($477.50) 2c (2 players)

Hero checks, BTN bets $210, Hero raises to $786.87 and is all-in, BTN folds

Results: $897.50 pot ($15 rake)

Final Board: 6h 7c Th 2c 

Hero showed 7s 6s and won $882.50 ($437.50 net)

BTN mucked and lost (-$445 net)

Flop pretty straightforward bet I think. On the turn thou, I can see merits for both checking and betting. This player will definitely have more flushdraws on the turn than a regular opponent. Do you guys think it's more important to have this hand in our checking or betting range ? 

I think he's pretty likely to float me on the flop with AK/AQ/KQs type stuff, I also think he can get to this spot with J9s type hands. Therefore I think I should check the turn since his range is pretty weak and he will fold alot if I bet the turn probably. Is this a good enough reason ?

Can't decide between c/r and c/c on the turn thou, what do you guys think ?