BTN: 97 BB
SB: 99.5 BB
Hero (BB): 457 BB
UTG: 117.5 BB
MP: 204.5 BB
CO: 82.5 BB

SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has 3d 3s
fold, MP raises to 3 BB, fold, BTN calls 3 BB, fold, Hero calls 2 BB

Flop : (9.5 BB, 3 players) 3c Kd Jh
Hero checks, MP bets 4.5 BB, BTN calls 4.5 BB, Hero calls 4.5 BB

Turn : (23 BB, 3 players) 4d
Hero checks, MP bets 22 BB, BTN calls 22 BB, Hero calls 22 BB

River : (89 BB, 3 players) Js
Hero checks, MP bets 86 BB, fold, Hero calls 86 BB

Villain is 30/21 over 61 hands, no notes or reads.

On the flop I decided to flat to keep the button in, with the intention of maybe c/r turn but when villain bets pots and being 200bb deep I decided to flat. Is bottom set ever a c/r on any street when villain can have KK/JJ.......what about 100bb deep?