If I am villian here in the sb, I am probably only r/f'ing once. If I raise again it will be with a hand that am willing to put all my chips in with.
My initial raising range will be fairly wide depending on the table dynamics, the bb's previous behaviour, any stats I may have, any reads, and of course my perception of his idea of my table image (always assuming that he's got one of course, I play microstakes).
If I am having to flip for my tournie life, on the bubble, with 2 short stacks, and flip for the commanding chip lead, against a 3 bet from the chipleader, I will be very risk averse here. Probably something like - 99+ AJS+ AQo, AK.
If my raise gets called, I am OOP, in a raised pot, with initiative. Any part of the flop and I can happily shove the flop and expect to be ahead, have enough FE to get rid of him, or have enough outs so that I can live with it if he calls - OESD, high FD, -even 2nd pair might be good enough to shove with depending on my read of the bb.
Just thought I would try another side to this theme by reflecting on the sb and what is going on for him.