What would you do? #190 - More overbets for value?

In keeping in tune with the theme this week, here's a hand I had where I get shoved on the river from a very deep stacked opponent:

Full Tilt Poker $0.50/$1 No Limit Hold'em - 9 players
The Official DeucesCracked.com Hand History Converter

UTG+1: $73.10
UTG+2: $96.75
MP1: $98.50
MP2: $100.50
CO: $100.00
BTN: $268.60 - 14/0 / meaningless stats otherwise @ 9 hands - I have him tagged as a LAG due to PTR's stats: 23.65/13.8 / 4.41%3bet though lifetime wins at $751 over 19.5K hands and a winning record at 100NL ($1257 @ 8801 hands; 7.14PTBB/100)
SB: $226.85
BB: $113.15
Hero (UTG): $101.50

Pre Flop: ($1.50) Hero is UTG with Ad Qd
Hero raises to $3, 5 folds, BTN calls $3, SB calls $2.50, 1 fold

Flop: ($10.00) Qs 5d Js (3 players)
SB checks, Hero bets $6, BTN calls $6, SB folds
Flopped TPTK.

Turn: ($22.00) 9d (2 players)
Hero bets $15.40, BTN calls $15.40
Turned TPTK + diamond draw...  No reason to slow down.

River: ($52.80) 5h (2 players)
Hero bets $25, BTN raises to $244.20 all in, Hero requests TIME, Hero ???
The 5 changes nothing.  WWYD? Obviously a bit different than the prior HH's this week because this is not nearly the overbet shove, but WTF?


Click to see results

Hero folds
I just can't see him doing this with a hand that I beat.  If I review: call, call, shove?  I keep thinking about KT or T8.  I also think about T9 which is what has me questioning myself.  I have to believe the mistake I made here was leading the river.  I should have check / called rather than bet / folded.

Final Pot: $102.80
BTN wins $99.80
(Rake: $3.00)