Set of Jacks against open ended straight draw

[jacks321]

Button will play any connecting cards, suited or not every time regardless of the action. From his flop call, I assumed he had flopped an open-ended straight draw. When the safe turn card came I decided to make a big bet, figuring that if he called it was for value and if he didn't I still take down a nice pot. I actually meant to push here but read the screen wrong - although from what I've seen of this player the extra $200 wouldn't have made a difference in his decision. What would be a better strategy against this type of player? Should I have pushed on the flop? When he bet on the river, should I have folded? Any advice on how I could have played this better would be greatly appreciated.

***** Hand History for Game 1362656206 *****
NL Hold'em Trny:8239526 Level:4 Blinds (25/50) - Wednesday, December 29, 09:56:04 EDT 2004
Table Multi-Table(189886) Table #2 (Real Money)
Seat 9 is the button
Total number of players : 9

Seat 3: UTG ( $390 )
Seat 4: UTG+1 ( $4250 )
Seat 5: Hero ( $1715 )
Seat 6: MP2 ( $2445 )
Seat 7: MP3 ( $1820 )
Seat 9: Button ( $1875 )
Seat 8: CO ( $3005 )
Seat 1: SB ( $1945 )
Seat 2: BB ( $675 )
Trny:8239526 Level:4
Blinds (25/50)
** Dealing down cards **
Dealt to jacks321 [ Jd Jh ]
UTG folds.
UTG+1 folds.
Hero raises [100].
MP2 folds.
MP3 folds.
CO calls [100].
Button calls [100].
SB folds.
BB calls [50].
** Dealing Flop ** [ Qh, 9d, Js ]
BB checks.
Hero bets [425].
CO folds.
Button calls [425].
BB folds.
** Dealing Turn ** [ 5d ]
Hero bets [1000].
Button calls [1000].
** Dealing River ** [ 8h ]
Hero checks.
Button bets [150].
Hero calls [150].
Button shows [ 9s, Td ] a straight, eight to queen.
Hero doesn't show [ Jd, Jh ] three of a kind, jacks.
Button wins 3575 chips from the main pot with a straight, eight to queen.