Sorry if the first one was to blocky.

Live Game. Heads up. Hero has about 240 BBs, Villain has about 220 BBs

HERO dealt 6 9 suited on button.

Hero calls BB and BB checks

Flop 6 9 2 w/ 2 suited cards.

Villain checks, HERO bets 2 BBs (the pot). Villain calls.

Turn 10

Villain moves as if to check, but then instead tosses in 3 BBs. Hero raises to 15 BBs (raising the pot), the Villain just calls.

River 6

Villain checks, Hero Bets 1.5X the pot, Villain moves all in, Hero calls.

Point being I was pretty sure that he had just turned a straight when the 10 hit, I was about 80% confident I had 4 outs left in the hand. There was a 15% chance he was on a pure bluff or semi bluff w/ a draw to the flush. I didn't see the possibility that he had any other hand based upon the previous hands. Am I justified giving a call on the turn knowing I am behind based upon the probability that if he just turned his straight I will likely bust him by filling up on the river?