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I 6-Outed Myself

If I don't pick up showdown value on this river, I shove it. I doubt he calls 250BB on the river, but I've been wrong about such things before:

Full Tilt No-Limit Hold'em, $10.00 BB (2 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

Hero (SB) ($8365.25)
BB ($3787.25)

Preflop: Hero is SB with K, Q
Hero bets $30, BB raises to $120, Hero calls $90

Flop: ($240) 7, 4, 2 (2 players)
BB bets $160, Hero calls $160

Turn: ($560) 8 (2 players)
BB bets $300, Hero raises to $999, BB calls $699

River: ($2558) Q (2 players)
BB checks, Hero checks

Total pot: $2558 | Rake: $0.50

Results:
Hero had K, Q (one pair, Queens).
BB had A, A (one pair, Aces).
Outcome: BB won $2557.50

I'm pretty sure that catching a pair on the river cost me a $2500 pot, though there's certainly a chance that it saved me $2500.