KK 3 bet pre facing raise on flop

[gotigers1234]

Dude was 19-8 over 200 hands
Merge Network $0.02/$0.04 No Limit Hold'em - 9 players -

UTG+2: $3.40
MP1: $3.51
MP2: $4.94
CO: $4.04
BTN: $3.53
SB: $4.00
Hero (BB): $4.01
UTG: $0.98
UTG+1: $4.86

Pre Flop: ($0.06) Hero is BB with K K
5 folds, CO raises to $0.14, 2 folds, Hero raises to $0.40, CO calls $0.26

Flop: ($0.82) Q 5 3 (2 players)
Hero bets $0.41, CO raises to $1.50, Hero raises to $3.61 all in,??? CO calls $2.11

Turn: ($8.04) 2 (2 players - 1 is all in)

River: ($8.04) 8 (2 players - 1 is all in)

I am thinking this shoulda been an easy fold dude 3bet the shit out of me so I was thinking set or big flush draw... either way I was behind and with his stats this was retarded right?? Also is the shove better than just the call? or are both equally shit?

[kickass]

id bet bigger on flop, plenty he'll continue with and id jam over the raise. if he has QQ/AA good for him.
id prolly make the 3 bet a little bigger too a 44/48

[EasyPoker]

id bet bigger on flop, plenty he'll continue with and id jam over the raise. if he has QQ/AA good for him.
id prolly make the 3 bet a little bigger too a 44/48

Agree with first bit.

Why make the 3bet bigger?

[kickass]

Why make the 3bet bigger?

based on villains raise size and stats, I dont imagine he's folding pre very often.