i bet the turn to try and get a higher flush draw out in case i did hit as well as possibly take it down. should i check for a free card?

Party Poker No-Limit Hold'em, $ BB (9 handed)

Hero ($33.83)
MP3 ($49.50)
CO ($25)
Button ($27.80)
SB ($25.10)
BB ($41.28)
UTG ($23.98)
UTG+1 ($2.82)
MP1 ($26.42)

Preflop: Hero is MP2 with , . CO posts a blind of $0.25. SB posts a blind of $0.10.
2 folds, MP1 raises to $0.5, Hero calls $0.50, MP3 calls $0.50, CO (poster) calls $0.25, 1 fold, SB (poster) calls $0.40, 1 fold.

Flop: ($2.75) , , (5 players)
SB checks, MP1 checks, Hero bets $2.5, MP3 folds, CO folds, SB calls $2.50, MP1 calls $2.50.

Turn: ($10.25) (3 players)
SB checks, MP1 checks, Hero bets $7, SB calls $7, MP1 calls $7.

River: ($31.25) (3 players)
SB checks, MP1 checks, Hero checks.

Final Pot: $31.25

Results in white below:
MP1 has Ts Td (three of a kind, tens).
Hero has 6h 7h (one pair, sixes).
SB has 3h Jh (one pair, threes).
Outcome: MP1 wins $31.25.

well i had zero folding equity and was drawing to 5 outs but how was the play other than that?

I don't bet that flop with so many people. Someone with a higher flush draw isn't going anywhere. Check behind on the turn and fold that river if bet into.

On another note, that is the worst played top set I have ever seen. min raise preflop, check call flop with flush and straight draws possible. Terrible.