The board is pretty bad for us, it improves QQ-KK, and JJ-TT will be scared and wont stack off. In a 3bet pot he wont have too many draws, the only things we are ahead against and plays like this (especially 3way) are AK combos with or without FD-s, and thats about it.
So i think if i bet this flop, it would be bet/fold.
Checking back is a better option i think, we dont really have to protect our hand, pot controll is more important here. (we dont have 3 streets of value from most hands anyways, except the AK's).