[Nick C]

I think calling is a legitimate option, actually.

If I miss and BB decides to lead into an empty side pot on the flop, I don't have too many regrets about folding. Meanwhile, he's called one massive raise already, and while I don't think this eliminates your folding equity, it does suggest it's not as good as usual, and there's also a very good chance that with at least one and quite possibly two all-in players in the hand, you're going to need to catch an A or K to win anyway.

The possibility that BB is going Hollywood with AA is also a little troubling, although I'm never really sure how to interpret those timing tells.

Meanwhile, though, pushing does also seem like an option to me, and I think I like it better than folding. At least you guarantee yourself five cards that way, and if BB was genuinely uncertain about that first call, that push might be what gets him to dump 99 (or whatnot).