Here is a hand I know I shouldn't have been involved in this hand to start with (i.e. I should have folded it preflop) and yet here I am. No reads whatsoever. How do you play the river? Check/call reasonable bet or value-bet? If value-bet, how much do you bet?

Ultimate Bet No-Limit Hold'em, $.02 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com

BB ($.30)
Hero ($1.16)
UTG+1 ($1.94)
MP1 ($.50)
MP2 ($.78)
MP3 ($9.07)
CO ($.84)
Button ($1.88)
SB ($2.76)

Preflop: Hero is UTG with K, J.
Hero calls $0.02, 2 folds, MP2 calls $0.02, MP3 calls $0.02, 1 fold, Button calls $0.02, SB completes, BB checks.

Flop: ($0.12) 2, 5, 7 (6 players)
SB checks, BB checks, Hero checks, MP2 checks, MP3 checks, Button checks.

Turn: ($0.12) K (6 players)
SB checks, BB checks, Hero bets $0.12, MP2 calls $0.12, MP3 folds, Button calls $0.12, SB calls $0.12, BB folds.

River: ($0.60) 4 (4 players)
SB checks, Hero ???