AA facing river overbet

Villain is 23/8 over ~400 hands, no real reads but he seems tight/solid post-flop. I haven't seen him show down a hand or get out of line at this table. Line check?

Full Tilt Poker - No Limit Holdem Ring game - Blinds: $0.50/$1 - 9 players - Converter

Stack sizes:
Hero: $192.90
UTG+1: $99.70
MP1: $74.75
MP2: $100
MP3: $98
CO: $48.50
Button: $194.95
SB: $135.55
BB: $51.20

Pre-flop: (9 players) Hero is UTG with A:spade: A:diamond:
Hero raises to $5, 6 folds, SB calls, BB calls.

Flop: Q:club: 3:heart: K:diamond: ($15, 3 players)
SB checks, BB checks, Hero bets $12, SB calls, BB folds.

Turn: Q:diamond: ($39, 2 players)
SB checks, Hero checks.

River: 8:diamond: ($39, 2 players)
SB bets $59, Hero...

fold.

Betting the turn for value is possible but we only beat Kx hands and force JT to chase a little more. Being in position we'll get value against a king and be able to fold to a solid lead from opp that tells us our hand is beaten.
Your line is also fine and folding is pretty standard IMO. KQ looks pretty likely considering the board etc.

fold that, it takes a really good player or a laggtard to be bluffing there and this guy is neither