So I'm trying to find good spots to fold big hands as I figure there's no point in just exchanging coolers. I often think they aren't coolers at all if we unpick the logic of the hand, but it's damn difficult to fold.

Is this a pretty routine fold? I don't see anything other than a few combos of 88/77/87cc in villain's range.

Villain is 31/28/19% 3bet over 100 hands but only seen a few flops. Post flop stats suggest fairly nitty, which I guess is inevitable given pre-flop lagginess.

PokerStars No-Limit Hold'em, $0.25 BB (6 handed) - PokerStars Converter Tool from http://flopturnriver.com/

CO ($43.69)
Button ($33.84)
SB ($33.99)
BB ($32.34)
Hero (UTG) ($25)
MP ($25.35)

Preflop: Hero is UTG with 4, 4
Hero raises to $0.75, 1 fold, CO calls $0.75, 2 folds, BB calls $0.50

Flop: ($2.35) 7, 7, 8 (3 players)
BB checks, Hero bets $1.25, 1 fold, BB calls $1.25

Turn: ($4.85) 4 (2 players)
BB bets $3.20, Hero calls $3.20

River: ($11.25) 10 (2 players)
BB bets $27.14 (All-In), Hero goes into the timebank...I'm never good here....but I has a boat and everything...