if I was BB, and I thought you were opening something like ~25%, and would get fancy vs a small 3bet I may do something like:
3bet shove: 22-99, A2s+, AJo+, KQo, K5s+... (maybe just 3bet small with AQs/AKs)...and then 3bet small / call the top of my range and balance out with some 3bet/folds. and then adjust that if I thought you tightened your open range.
you can't really do much besides tighten up your btn range considerably.

In reality I think most regs just get so tight vs a standard, or even small, 3bet size in this spot that it's not all that necessary

This makes perfect sence to me.

Clickcalling here would have to be with a hand where we felt we were "trapping" in the sence that our callrange has to be very tight and a call therefore would be unexpected (like a trap), and AJ is clearly not good enough for that here with these stacks, even if BB is pushing a lot, given the bubble. The risk reward will just not be good enough here because of the icm factors.

I would propably openshove myself here as the callingranges for that would have to be be sick tight, and since a clcik would to often face a push for that to be any good and a fold would be too weak, and I would only click with the intention of calling a push with QQ+.