[10NL] KK overpair multiway. 1 whale, 1 rock

BB is 86/20 megawhale. Very passive postflop. Rarely folds to cbets. Goes to showdown a lot.

CO is 12/8 positionally unaware after 210 hands. Never seen him get out of line. 1.8AF and 100% fold to cbet so far.

SB is a little loose, pretty aggro and generally plays weirdly.

Whats our plan for the hand? My thoughts below.

Spoiler: Show

BB can obviously have a huge range here, including all 2 pairs and a lot of TPWK, FDs etc.

CO wanting to get involved makes me nervous. I can't imagine him doing this with worse than KQ, which I have blockers to and which I think he will usually fold preflop. I put his range at no worse than sets, AQ, very occasionally KQ or AcJc.

While we are probably marginally ahead of CO range at the moment (and way ahead of BB), I don't like my chances if much more money goes in.

Can we pot control OOP and re-evaluate if CO bets and BB calls? (Since betting will leave less than a PSB behind with only one caller)

PokerStars No-Limit Hold'em, €0.10 BB (6 handed) - PokerStars Converter Tool from http://www.flopturnriver.com
MP (€10.60)
CO (€11.86)
Button (€7.67)
SB (€8.80)
BB (€18.22)
Hero (UTG) (€10.04)
Preflop: Hero is UTG with ,
Hero bets €0.30, 1 fold, CO calls €0.30, 1 fold, SB calls €0.25, BB calls €0.20
Flop: (€1.20) , , (4 players)
SB bets €0.15, BB calls €0.15, Hero raises to €1.10, CO calls €1.10, 1 fold, BB calls €0.95
Turn: (€4.65) (3 players)
BB checks, Hero...