Ok first off this guy was just terribad.

But in theory if the Villain was a good player with a full stack. What is our play on the turn? Do we bet half pot to induce a bluff raise? Or check because I think lots of floaters will try to take us off an overpair here

Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 8 Players

MP2: $33.80
CO: $61.55
BTN: $51
SB: $52.75
BB: $29.25
Hero (UTG): $93.75
UTG+1: $29.50
MP1: $46

Pre-Flop: A Q dealt to Hero (UTG)
Hero raises to $2, 2 folds, MP2 calls $2, 4 folds

Flop: ($4.75) 4 6 5 (2 Players)
Hero bets $3.50, MP2 calls $3.50

Turn: ($11.75) 8 (2 Players)
Hero?