Flopped Set Turn Play - Extracting Max Value

Here we cold-call preflop in position with a mid pocket pair with a UTG raiser. We flop the set on a draw heavy board and raise the UTG players continuation bet. The turn pairs the board (giving us a full house) and introduces a second flush draw. We want to get all the money in by showdown. Checked to us, we raise and are check-raised. Whats your play?