[nef]

Flop bet is automatic IMHO, most opponents will fold often enough for this bet to be profitable with any two cards.

I think an argument can be made for both checking and betting the turn, but betting is probably best. What is your plan if raised on the turn?

I think the broadway gutshot possibility swings this to a bet. If the T was a 9 I could see a check because if he does take a free card its probably with a 2 outer. I do think that most opponents would bet most anything on the turn here after you check, and if you checked the money goes in anyway.

The river check call is fine against an unknown.