Preflop Raise is good

Flop: I'd lead out but I'd call the raise on the flop with plans of that being the last money I put in the pot.

I'm not 3betting his raise due to two reasons.
1) you may already be behind
2) there are a lot of cards that could come on the turn that would be bad for you. Basically any overcard puts you at risk.

Turn: I check/fold the turn.