Hero raises UTG w/ AcAhAcTh $40
Fish(860) in mp calls $40
CO calls $40
BTN calls $40

Fish is loose passive but will get aggro with weak draws when checked to.

Flop Kc8h5c
Hero bets $110
Fish calls $110

Turn 6d
Hero checks
Fish bets $360 w/ $360 behind
Hero?

Is bet calling the turn a better line? I was planning on betting any card that improves me to a gutshot, heart, club, or A/T also barreling 2s, 3s and board pairing turns. Reasonable to check on non club/heart 4,6,7 and 9 turns?