This is the kind of spot where betting is best. You don't want to check the turn and have him check behind a hand like 2 pair he may call a bet with, or draw to a flush for free. He's a calling station. Give him something to call.
Code:
7,348 games 0.001 secs 7,348,000 games/sec
Board: Ah Ts Js Kc
Dead:
equity win tie pots won pots tied
Hand 0: 64.392% 59.15% 05.25% 4346 385.50 { AsKh }
Hand 1: 35.608% 30.36% 05.25% 2231 385.50 { A2s+, KQs, KTs, Q9s+, JTs, 98s, A2o+, KQo, KTo, Q9o+, JTo, 98o }
Bet $5.50 on the turn, if they flat then the pot on the river is $19.35 and villain with $13.25 behind, ship the rest in. If villain ships the turn meh, you're calling it off with $13.25 into $32.60 which is pretty reasonable against a range that has more than a touch of retard to it, and if he has the straight just spike an A or K. EZ game.