The only way I can fold here is if I believe SB to be of the level where he knew the value of isolation. If this is the case his flat call rather than all in could be viewed as inducing us (the bb) to shove in; as TT is a standard isolation, as is AK, he would have to have QQ, KK or AA to smooth in which case JJ is a standard fold.
As I assume the SB is not at this level, it"s a snap shove for me. The button can be the biggest nit in the world but I"m not folding Jacks to an open ship for 10bb three handed.
Still, I understand your reasoning for the fold so it can"t be criticised, just saying how I would view the situation. Best of luck in the future.