I put the all in guy on a monster draw. Something sick like
[10d] where he's got open ended and flush possibilities. I like your chances if you find a 3 way pot here since it's likely that they hold some of each others cards, but there's no guarantees that BB calls behind you. I don't think you're behind to a set, because who pushes a set that hard here? If you held 77 or 88 you'd want to make people pay for the draw, but you still want them to draw. Ditto the BB...who doubles the pot from the BB with a set?
So if I have to "read" (guess) I'm up against two pair in the BB and a huge draw from UTG. I doubt the BB calls unless it's 78 in his hand, and that's only 33% of the two pairs he could have.
So the question to me is do you want to gamble a virtual 50-50?