KKvs lag

Villain is 39/19/7 AF over 43 hands
In a 3bet pot does anyone ever fold this to his raise or go for it like I did?

I put him on a range of 55+ b/c he is aggro. Vs a 21/4/1.5 Af type player I can fold to this but I have a hard time vs a lag

PokerStars No-Limit Hold'em, $0.05 BB (9 handed) - PokerStars Converter Tool from FlopTurnRiver.com
MP2 ($5)
villain (MP3) ($8.25)
CO ($15.10)
Hero (Button) ($5)
SB ($5.77)
BB ($5.31)
UTG ($5.37)
UTG+1 ($3.30)
MP1 ($12.50)
Preflop: Hero is Button with K, K
4 folds, villain bets $0.12, 1 fold, Hero raises to $0.40, 2 folds, villain calls $0.28
Flop: ($0.87) 5, 6, 8 (2 players)
villain checks, Hero bets $0.70, villain raises to $1.40, Hero raises to $3.30, villain raises to $5.20, Hero calls $1.30 (All-In)
Turn: ($10.07) 6 (2 players, 1 all-in)
River: ($10.07) J (2 players, 1 all-in)
Total pot: $10.07 | Rake: $0.50