Does not compute.
You want to take a hand that is toatl garbage, and play a pot where you will never win pre flop, will rarely flop and sort of hand post flop, and play it in what looks like an OOP spot against a villain who is mostly short stacked and won't fold any piece of the board likely after putting in >15% of his stack?
This seems like a huge disaster to me.
I'm not sure why we don't just fold pre flop, take the $30, get all singles from the cage, go buy a pack of matches and light them in fire one at a time. Seriously.
You'd prolly have more fun doing it, you'll prolly lose less money in the long run (as you won't put more money into pots when you have little/no equity) and you won't be tempted to raise a hand like this again in the future with this table dynamic, stack size, and reads on villains.
Just fold pre.
Moving past all that:
I guess as played, I'd raise to $125 here and call if either of them shove.
This can fold out a lot of stronger Jacks with marginal or even good kickers (prolly J9 and lower, and sometimes QJ.) We will often gii against combo draws and naked flush / straight draws but we have a great price with the pot. JJ/TT are very unlikely so we should only see 3 combos of sets ever here. JT is pretty possible, but that's just the way it does down sometimes.
Or you can just fold. Which isn't a bad idea. Calling is the worst choice imo.