[UOPokerPlayer]

This isn't a very good flop for c-betting imo. Ax hands have more motivation to play sherrif cuz they see a gutshot now. I think your hand is pretty disguised if you hit. I would check flop and decide whether I'll c/r or not depending on how i interpreted a bet. If it goes check check I'm betting pretty much every turn except like non club fives and maybe aces.
As played I call. I don't think I'm getting it in with much equity if i'm called on the flop so only push if he's bluffing a significant amount of the time. The price you're getting is good enough where i think its ok to just call, and shut down if you don't hit.