$20+r live tourney full of terrible players.
80 started. about 20 left. 8 pays.

Hero has 96k
Villain has 140k
Ave stack around 80k

Blinds 3k/6k

Hero has TT UTG+1. 6 handed
UTG limps, Hero makes it 16k. Folds to Villain in SB who calls. BB and UTG fold.

Flop JJ4 rainbow. 44k in pot.
Villain checks. Hero bets 21k. Villain Calls.
Turn 7. 86k in pot.
Villain checks. Hero ???

No real reads on villain but he seems to be the most active at the table.
In general these players never 3-bet light and call pretty wide. So his PF calling range is hard to narrow down.

What is my best move here?

Shove for value

I'm putting Villain AJ suited here, I'd check and pray for a 10 on the river.

Solid range...how did you determine that villan has AJ

Value against what?

That's a flop where most will get stubborn with their mid pairs. I expect we will also see some % of the pool who will not expect us to bet turn with our pair and call us down with A high

FYP

jam pre

jam now

I like the jam PF too your only 16 bb's deep with a limper

as played jam the turn all day if villain has a wide range PF then he can call this flop with weaker pocket pairs and lots of A4, K4s, 45s-47s type hands. there's 86k in the pot and you only have 59k behind(about 2/3 pot) it's time to get it in, your ahead most of the time and you can't check and let villain get there with out paying. if villain has a random Jack or hit a set so be it, with only 16 bb's PF your not going to find that many better spots to get your stack in than this.

this, no point is making it 16k with 15bb.