Played on Ignition.
6-handed.
Important stacks are 100bbs deep.
Only my second hand at the table so no reads here.

MP opens to $3.50, Button flats, I call in the sb with JcTs9c6s, BB calls

Flop: 3c 5c Td
check, check, MP bets $10, fold, I call, BB calls

Turn: Th
check, BB leads for near pot at $38, MP folds, I call

River: 3d
check, BB bets his remaining $48 and I???

I feel like if I have any question at all about what I'm going to do otr, my mistake here was preflop where I should've either 3-bet or folded. I don't feel like this is a hand to fold, so I should lean to 3-betting it. I also feel like 3-betting sucks because I'm going to be oop in a pot that's likely 3-way. So thoughts on my play overall and especially preflop?