KJT9

I think it's still possible to get a weaker hand to call for 25% pot. Not sure if it outperforms check-calling though.

I would check range OTF, obviously intending to c/r this hand. It's a board that smashes opener and BTN caller so there is no sense in having leads IMO.

X-Call or XR Flop, both is fine, you don't wanna raise all your nuts for same reasons as amok mentioned above, you don't have enough of strong hands compared to BTN. You wanna be able to XR blank turn with nuts, T9 helps with your equity. I'd lean towards Check - Call.

River will probably be a small difference wether bet or XC, with a club it sounds nicer to check call. I don't think you want to fold even though the situation didn't come the best way. If you check, he might bluff a set or xx:dd, if you bet he might fold split (rarely) or call worse.. as a starndard, he should have more backdoor flushes than you, so if you wouldnt be sure decide by that. that being said bigger spr on the river mostly check