Turn spot from the early $11 deepstack on the merge network, still pre ante blinds are 60/120. Villian has been limping the button often and playing mostly passively post flop. I decided to bet the flop bc I didnt feel like c/c this sort of board. Was planning on folding to a flop raise and shutting down on most all turns. Turn raise is interesting, what is the bottom of our value range for 3bet getting it in here? What sort of hands can we call and see a river with? Are we folding in this spot to fishy/straightforward villians? I have approximately 3,000 chips (25 BB) left after I bet turn… thanks for any and all feedback

 LP: 9,354
CO: 5,770
BTN: 7,098
SB: 1,700
Hero (BB): 3,802
UTG: 5,249
UTG+1: 5,066
MP: 7,460
MP+1: 10,021

SB posts SB 60.00, Hero posts BB 120.00

Pre Flop: (180.00) Hero has 4c Kc

fold, fold, fold, fold, fold, fold, BTN calls 120.00, fold, Hero checks

Flop: (300.00, 2 players) 5s 8h 4s
Hero bets 200.00, BTN calls 200.00

Turn: (700.00, 2 players) 4d
Hero bets 466.00, BTN raises to 932.00…