I'm going against the grain here.

BBs first hand, he's insta-ALLLLLLLLLLLLL IN? You say he pushed so fast unless he's a bot he couldn't have read the screen? I just don't buy it that he has anything. I'd go so far as to say he has two unpaired, unconnected cards.

You aren't deep with the other players (100bb) and the board is pretty good (paired and no overcards or draws), I'm pushing to isolate the moron.

The only way you're in any trouble here is if one of the two behind you flopped something with 98, T9, a boat, quads or a slowplayed big pair. Unless either of the two villains are prone to cold-calling preflop with QQ/KK, you aren't worried about the big pairs.