AA: Check/raised all in on river - huh?

Villain 18/15 5% 3bet in the SB - East european (winner at 50nl, but big loser at 100nl)
Agg by street 5/5/2.8
Not sure of flop C/R stats but folds to c-bets 30%
I took a while to bet river, he raised fairly quickly but not instantly (after 3-4 secs)

I guess my question isnt - should i call but should i have taken the free showdown?

So value bet fine?

No-Limit Hold'em, $0.50 BB (9 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

saw flop

BB ($47.95)
UTG ($53)
Hero (UTG+1) ($50.75)
MP1 ($50)
MP2 ($54.35)
MP3 ($43.65)
CO ($57.80)
Button ($25.85)
SB ($60.05)

Preflop: Hero is UTG+1 with A, A
1 fold, Hero bets $2, 5 folds, SB calls $1.75, 1 fold

Flop: ($4.50) Q, 3, 8 (2 players)
SB checks, Hero bets $3.20, SB raises $10.15, Hero calls $6.95

Turn: ($24.80) 8 (2 players)
SB checks, Hero checks

River: ($24.80) 10 (2 players)
SB checks, Hero bets $12.95, SB raises $47.90 (All-In), Hero....?

Could you explain why you didn't bet turn?

ya i'd bet turn instead

a question for me: folding flop would be to nitty?

as played i would prob b/f turn for 14$ and ck back river.

50nl is above my pay grade but I'd be betting turn and checking river. As played I'd be checking river too.

dont check the turn

i far prefer betting flop+turn than flop+river if we've decided we're only going for two streets.