defending against the stop and go

[JasonKGB]

Here is my hypothetical set-up for a NL tournament: you raise in the cutoff in to about half the size of the big blind's short stack with a smallish pair like 44. The button and sb fold and the BB calls half his stack.

As soon as he calls, you realize that he will be pushing the remainder of his stack in on the flop no matter what cards show up. You give him a range of hands of something like any pair, any ace, any two cards 9 or higher.

The flop comes and he shoves the rest in. You are now getting about 3-1 plus any dead money from the sb and antes. If you know this is coming anyways, what range of flops can you make a call on. Clearly if you hit your set, its an easy call, but what about bigger suited, connected flops. What if you are raising with something else like AK or AJ, now what range of flops can you make this call on?