This is 81 hands in to a long HU match. I would classify the villain as loose/aggressive, but as the match went on, he started to mellow out some. He's opening ~50% of BTNs and C-betting ~50% of flops.
Full Tilt Poker $11 + $0.50 Heads Up No Limit Hold'em Tournament - t15/t30 Blinds - 2 players
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Hero (BB): t1290 43 BBs
BTN/SB: t1710 57 BBs
Pre Flop: (t45) Hero is BB with 9

A
BTN/SB raises to t90, Hero calls t60
Flop: (t180) K

7

4
(2 players)
Hero checks, BTN/SB checks
Turn: (t180) 8
(2 players)
Hero checks,
BTN/SB bets t90, Hero calls t90
River: (t360) 8
(2 players)
Hero checks,
BTN/SB bets t270, Hero calls t270
I'm not yet sure what his range is for C-betting versus failing to C-bet, but so far, every time he's failed to C-bet the flop, he's C-bet the turn. Here are two example hands.
12 hands in:
Full Tilt Poker $11 + $0.50 Heads Up No Limit Hold'em Tournament - t15/t30 Blinds - 2 players
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BTN/SB: t1845 61.50 BBs
Hero (BB): t1155 38.50 BBs
Pre Flop: (t45) Hero is BB with 6

A
BTN/SB raises to t90, Hero calls t60
Flop: (t180) K

6

8
(2 players)
Hero checks, BTN/SB checks
Turn: (t180) 9
(2 players)
Hero checks,
BTN/SB bets t120, Hero calls t120
River: (t420) 9
(2 players)
Hero checks,
BTN/SB bets t270, Hero folds
14 hands in:
Full Tilt Poker $11 + $0.50 Heads Up No Limit Hold'em Tournament - t20/t40 Blinds - 2 players
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BTN/SB: t1875 46.88 BBs
Hero (BB): t1125 28.12 BBs
Pre Flop: (t60) Hero is BB with J

K
BTN/SB raises to t120, Hero calls t80
Flop: (t240) 6

7

4
(2 players)
Hero checks, BTN/SB checks
Turn: (t240) 3
(2 players)
Hero checks,
BTN/SB bets t160, Hero folds
Especially given the A6 hand, I think his range for betting the river is likely to be polarized to 8x or air as I think his high C-bet% indicates that he's probably betting all his Kx 7x hands, and if his checking back flop range includes big 2-pair hands like K7 or K4, he might not bet them on this river. Therefore I should call.
What are your thoughts on my ideas about his range? Is this a river call?