220$ NLTRN move in or normal bet river?

[Vinetou]

PokerStars No-Limit Hold'em Tourney, Big Blind is t30 (2 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Hero (t1075)
BB (t1925)

Preflop: Hero is Button with T[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises to t90</font>, BB calls t60.

Flop: (t180) Q[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets t90</font>, BB calls t90.

Turn: (t360) 5[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, Hero checks.

River: (t360) Q[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets t180</font>, BB calls t180.

Final Pot: t720

This is an interesting hand. Obviously my play is not a problem here. But I was wondering if I could play it differently. If villain didn't think a long time for checking the river (in which case, there is possibility he sucked out and hit a queen), we probably split here. So I was thinking if an all in move (significant overbet) would work to try to push him off a hand that we split with? The downside is that we don't get value out of suspicious villain who calls with a jack here because he doesn't believe a bet check bet line. However, the possibility that he calls my normal river bet with a jack is small, because he probably thinks that I am value betting a king and I might suckout with a queen (both hands I would play the same way). But people still don't believe bet check bet line.

What do you think?