River Surrender or Full Court Press

Villain is a 59/24/2.0 over 1k hands (dataments) He folds to 55 percent of cbets

Seat 1: UTG+1 ($20)
Seat 2: MP1 ($20)
Seat 3: MP2 ($91.35)
Seat 4: MP3($98.50)
Seat 5: CO ($16.50)

Dealer

Seat 6: Button ($73.65)

Posts small blind $0.50

Seat 7: SB ($208.30)

Posts big blind $1

Seat 8: BB ($34.60)
Seat 9: UTG ($168.30)

Dealt to MP3

Preflop: (Pot: $1.50)

FOLD UTG
FOLD UTG+1
FOLD MP1
FOLD MP2
RAISE MP3, to $3
FOLD CO
CALL Button, $3
FOLD SB
FOLD BB

Check odds

Flop: (Pot: $7.50)

BET MP3, $5
CALL Button, $5

Turn: (Pot: $17.50)

BET MP3, $12.95 ( felt this was a nice turn cards to barrel villain is going to have so much shit on the flop this should slow him down. I felt the size of my bet didn't have to be that much in this spot. )
CALL Button, $12.95

River: (Pot: $43.40)

Well villain is telling us he/she has something obvious but can that something handle three streets of betting here? 910/89/JQ/pocket pairs like 99, etc. Or should this be a spot where I check fold and surrender?