QTs flops flush.

[imported_The Vibesman]

This is tough without any reads on BB. Maybe he's a really loose raiser preflop?
Regardless I'm checkraising the flop.

I'm starting to think you're behind when he raises the turn, but just calling there does feel weak. When he caps, I kind of think you're beat. Still, what could he hold?

Bet/call on the river seems to be the best line.