Help creating folding equity with 200BBs

[jonnyUCB]

I would raise here with a set (neither of my opponents would know that) but wanted to play it like a donk-ish slowplayed one. I actually flat-called in the hand because I had a feeling BB had a hand he was going to move in with (probably a set, imo)... not because I intended to push all the chips in over the top of button's raise (he had QQ btw, so apparently I did create some fold equity when I pushed since he figured one of us had him beat... though he might have called BB's push)

I would have been happy with taking a card off against what is likely a coin-flip. I think I got lucky I was only against an overpair in the actual hand (i was better than a coinflip).

Do you think BB's hand range is wide enough to warrant a flop raise?