3$r (20k guaranteed) on pokerstars, 11 players left, final table bubble blinds 30k/60k 6k ante.

I have been very active in recent orbits, using my stack to raise\fold a ton as the majority of the players left were so nitty and bad. BB is pretty much the only decent player left in the tournament, a winning smallstakes reg (ABI 8$). He was moved to the table only about two orbits ago and raised once. I watched him a bit on the other table and he seemed aggressive and stealing in the right spots. We did not have a any clashes between us up to this point and no idea what he thinks about me. My plan was to raise sb and jam over his 3bets, but he flats.

Can I find a fold here on any of the streets? He has KT and JQ for value and that's it (and I imagine he sometimes may 3bet them). Obviously it's a good spot for him to put a ton of pressure on us as this is the ft bubble and we both have big stacks, so I expect him to be out of line reasonably often. On the other hand, it's smallstakes and everyone always has it. And kinda hard to see which hands he bluffs with here.

Also I gotta admit I'm curious about his turn sizing as well, which seems way too big imo.