I push, but that's because I don't think either of the blinds will call as much as they should (probably because they put me on a tighter range in this position). They're probably thinking that I wouldn't risk my whole stack, with the blinds about to hit the short stack, without a good hand. So, they won't imagine that I'd push T9s, so they'll have pretty tight calling ranges.

This is probably all wrong. The blinds should expect me to push a pretty wide range and be looser with their calling range. But, I don't think that's how it actually works at these levels.

My guess, without having tried to find an equilibrium, is that T9s is just about at the bottom of the theoretical equilibrium pushing range. But, that perfect practical play from the button will mean pushing more than you should because the BB will call less often than he should.