Bet/fold

Poker Stars, $0.08/$0.16 No Limit Hold'em Cash, 6 Players

UTG: $16 (100 bb)
MP: $16.50 (103.1 bb) 73/27/0.9/50.0/50/15
CO: $22.96 (143.5 bb)
BTN: $15.91 (99.4 bb)
SB: $16 (100 bb)
Hero (BB): $16.37 (102.3 bb) 15/8/2.8/7.4/40/104

Preflop: Hero is BB with K K
UTG folds, MP calls $0.16, 3 folds, Hero raises to $0.64, MP calls $0.48

Flop: ($1.36) T 4 8 (2 players)
Hero bets $0.96, MP calls $0.96

Turn: ($3.28) 5 (2 players)
Hero bets $2.40, MP calls $2.40

River: ($8.08) 7 (2 players)
Hero checks, MP checks

Block bet river or just check? I can block bet/fold river or check/call. Actually would check/call be the right approach here? If its a big river bet then I might have to fold but that makes it so easy for people to float against me and exploit me on these kind of boards. I mean this opponent won't do it but there are others who could.