Final Table OESD vs All-In

[rhizome]

Empire 25+2 $5000 Daily Guaranteed(422355) Table #1 (Real Money)
Seat 2 is the button
Total number of players : 6
Seat 1: HERO ( $25961 )
Seat 6: Villain ( $19105 )
Seat 8: UTG ( $28905 )
Seat 9: UTG+1 ( $33781 )
Seat 2: button ( $52989 )
Seat 7: BB ( $42259 )
Trny:14812719 Level:13
Blinds (750/1500)
** Dealing down cards **
Dealt to HERO [ K[img]/images/graemlins/club.gif[/img] Q[img]/images/graemlins/spade.gif[/img] ]
UTG folds.
UTG+1 folds.
HERO raises [3500].
button folds.
Villain raises [4750].
BB folds.
HERO calls [2000].
** Dealing Flop ** [ J [img]/images/graemlins/club.gif[/img] , T[img]/images/graemlins/club.gif[/img], 6[img]/images/graemlins/heart.gif[/img] ]
Villian is all-In.
Hero ????

Villian is very solid and conservative. He had played about 10-15% of the pots and always showed premium hands when he showed.

Preflop -- entire table had been very tight. There had been very few flops. Many hands were being taken down for min bets. 2.5x BB raises were good in most cases. I should have had a very tight image as well. Villain's re-raise signalled to me a strong hand, most likely TT-AA, AK, or AQs+. If he had a smaller pp, I think he would have pushed harder. These were my reads.

I call. Is this a mistake given my reads?

Flop -- I get an OESD and a backdoor flush. His push tells me that the flop was good to him and he doesn't want me to call.
If he has QQ, then I have 12.5 outs (8 for SD, 1.5 for bd flush and 3 kings.) If he has KK, then I have 8 outs.
If he has TT-JJ, then I have 9.5 outs and have to avoid FH. If he has AA with a club, then I might only have 6 outs. AK seems unlikely now, unless he has AK of clubs in which case I have 7 outs and need to avoid a club. AQ of clubs also gives me 7 outs.

In all of these scenarios, do I have enough to call? I am sure that he is not bluffing, but I would give about a 5% chance that he's just making a move.