Villain was playing Laggy and had previously bet IP when checked to, called a turn c/r and folded river in a multi way pot vs me.

I just want to know what the optimal size is for our range on this river when checked to and do we take a different line at any point in the hand vs this player type?

PokerStars - 50/100 Ante 12 NL - Holdem - 9 players
Hand converted by PokerTracker 4

UTG: 5,110 (VPIP: 14.29, PFR: 10.71, 3Bet Preflop: 0.00, Hands: 29)
UTG+1: 9,580 (VPIP: 18.13, PFR: 11.86, 3Bet Preflop: 5.19, Hands: 183)
MP: 5,000
MP+1: 7,122 (VPIP: 16.98, PFR: 5.66, 3Bet Preflop: 4.55, Hands: 54)
MP+2: 5,474 (VPIP: 28.00, PFR: 20.00, 3Bet Preflop: 22.73, Hands: 50)
CO: 4,388 (VPIP: 28.89, PFR: 20.00, 3Bet Preflop: 0.00, Hands: 45)
Hero (BTN): 7,285
SB: 5,142 (VPIP: 20.45, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 45)
BB: 10,167 (VPIP: 31.11, PFR: 20.00, 3Bet Preflop: 11.76, Hands: 45)

9 players post ante of 12, SB posts SB 50, BB posts BB 100

Pre Flop:(pot: 258)Hero has 10K

fold, fold, fold, fold, fold, fold, [color=red]Hero raises to 227[/color], fold, BB calls 127

Flop:(612, 2 players)Q95
BB checks, [color=red]Hero bets 225[/color], [color=red]BB raises to 600[/color], Hero calls 375

Turn:(1,812, 2 players)9
[color=red]BB bets 906[/color], Hero calls 906

River:(3,624, 2 players)4
BB checks, [color=red]Hero bets 1,275[/color], fold

Hero wins 3,624