swedetooth

Was wondering if my flop call was incorrect or if I should ever 3bet flop at any frequency. Flop is draw heavy but i do hold the Kc and somewhat block straight draws.
OTT the Ts reduces sets he could have and I felt I could credibly rep a value heavy range.

Yatahay Network - $0.10 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

Hero (CO): 102.3 BB
BTN: 100 BB
SB: 304.4 BB
BB: 175.6 BB
UTG: 85.2 BB
MP: 151.8 BB

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Js Kc
fold, fold, Hero raises to 2.5 BB, BTN calls 2.5 BB, fold, fold

Flop : (6.5 BB, 2 players) Tc 4h 9c
Hero bets 3.2 BB, BTN raises to 10.6 BB, Hero calls 7.4 BB

Turn : (27.7 BB, 2 players) Ts
Hero checks, BTN bets 14.3 BB, Hero raises to 42.4 BB, fold

Hero wins 53.5 BB

Size up to 15bb pre? Size up flop cbet? OTT I was pretty lost and OTR I don't think UTG gets here with much air although we block the nut flush and broadway

UTG is fairly solid 21/17/8 over 500 hands

Yatahay Network - $0.10 NL (6 max) - Holdem - 5 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

Hero (BB): 104.5 BB
UTG: 100 BB
CO: 47.5 BB
BTN: 135.9 BB
SB: 100.5 BB

SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Ac Ks
UTG raises to 2.8 BB, fold, BTN calls 2.8 BB, fold, Hero raises to 13 BB, UTG calls 10.2 BB, fold

Flop : (29.3 BB, 2 players) 4c Ah Qc
Hero bets 11 BB, UTG calls 11 BB

Turn : (51.3 BB, 2 players) Jc
Hero checks, UTG bets 12.8 BB, Hero calls 12.8 BB

River : (76.9 BB, 2 players) 9s
Hero checks, UTG bets 52.6 BB, Hero folds

This is a fairly basic and general question and I find that this spot is a pretty clear leak for me.
Let's say I have something like AJs UTG, open and get 3bet by fairly loose BTN (27/22/8). OOP I decide to go for a 4bet here and BTN flats
Assume the flop is a bricky 273r. We still have the range advantage but what do we generally do in this spot? Please also outline the theory for future streets