[Bona]

IMHO We have to bet. They probably won't all fold though since a c bet is probably expected. Not to mention we may be behind. If we check though I think we have to call one with 2 over cards a 4 outs to the top straight.

So I think we bet/call. Planning to check/fold the turn if a heart or an Ace appears. Planning to bet/3 bet if a non heart jack hits. Planning to bet/call a non heart Q or K. Planning to check/call one if a heart Q or K appears.

(Frankly I'm interested to see what others think here because the nit in me would like to just dump this here but I don't think we can in this pot with our gut shot draw.)