10z: KK BTN, Threeway 3B Pot - River Value?

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10z: KK BTN, Threeway 3B Pot - River Value?

Yatahay Network - $0.10 NL FAST (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

Hero (BTN): $12.00
SB: $11.50
BB: $14.72
UTG: $10.28
MP: $12.27
CO: $12.00

SB posts SB $0.05, BB posts BB $0.10

Pre Flop: (pot: $0.15) Hero has Kh Kc
fold, MP raises to $0.25, fold, Hero raises to $0.85, SB calls $0.80, fold, MP calls $0.60

Flop : ($2.65, 3 players) 5h 8d 5c
SB checks, MP checks, Hero bets $1.15, SB calls $1.15, MP calls $1.15

Turn : ($6.10, 3 players) 3s
SB checks, MP checks, Hero checks

River : ($6.10, 3 players) Tc
SB checks, MP checks, Hero ???

What are your thoughts on grabbing an additional street of value here on the river in this spot? Are we worried enough about SB and MP having 5x or 88 often enough that it's best to just check back, close off the action, and realize our equity? The thing here is that any sizing I bet which seems reasonable is susceptible to being raise/jamm'd on and that creates a really ugly spot by our own design.

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