I think it's a push. When I first read it I thought it was a pretty easy push, partly b/c I agree with your read on the BB being a solid player who isn't calling with a ridiculous range here.

But crunching the numbers made me less sure. It all depends on the BB and how he reads you. If he's willing to call here with top 67% (any pair, any A, K, Q, suited J, suited T, J3o+, T6o+, 96o+, 94s+, 87o, 85s+, 75s+) then pushing your hand is exactly on the borderline. Is his range that wide? I doubt it, but I dunno, maybe: Does he think you're capable of pushing any two here? If he thinks you are, then he's correct in calling a ton of hands, like top 80% or something. And then the psychological arms race (If he, then I, but if I, then he...) is off and running.

SB vs shortie BB situations often make me think twice. But I think this is a push. The math, your read, and also that it's eight-handed in level 5 all lean that way.