JJ interesting preflop situation

[Ghazban]

Party 1/2 6-max. SB just lost a big pot and, from past experience with him, I know he's likely to be tilting. He has about $94. BB is fairly aggressive both pre- and post-flop. He's reraised some of my steal raises and made me lay down. He has about $210. I cover and have JJ on the button. If people are paying attention, they've seen me play in a pretty high gear the past half hour. I've been getting some good cards and hitting some good flops with bad cards. I haven't shown down only quality hands but I don't think I've been caught making any big postflop bluffs, either (though I've made a few).

Folded to me, I make it $8, SB calls, BB reraises to $26. I call, SB pushes for $95, BB calls. What's my play?

Some thoughts:
If BB had folded, I'd've instantly called SB as his range is very wide due to the tilting and irritation and not being allowed to see the flop cheaply with something he decided he wanted to play. BB's range is also wider than AA-QQ/AK as he's seen me steal a lot from the button. The fact that I just called his reraise and didn't 3bet myself might lead him to believe I do not have a premium holding and he probably also picked up on SB's tilting so calling that all-in does not require a big hand, either. Obviously, if I knew exactly what his range to call here was, it would be a simple math problem to figure out what the best play is.

Anyone think I should've 3bet BB's reraise myself instead of calling?