How often should I reraise the river with a monster, but not the nuts?

[PartyPaul]

BB is a 46/7/1.5 He is not a good player, but not a terrible one either.

Cryptologic
Limit Holdem Ring game
Limit: $2/$4
6 players
Converter

Pre-flop: (6 players) Hero is CO with Q[img]/images/graemlins/spade.gif[/img] Q[img]/images/graemlins/heart.gif[/img]
2 folds, <font color="#cc0000">Hero raises</font>, 2 folds, BB calls.

Flop: 5[img]/images/graemlins/diamond.gif[/img] 6[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/club.gif[/img] (4.5SB, 2 players)
BB checks, <font color="#cc0000">Hero bets</font>, BB calls.

Turn: Q[img]/images/graemlins/diamond.gif[/img] (3.25BB, 2 players)
BB checks, <font color="#cc0000">Hero bets</font>, BB calls.

River: J[img]/images/graemlins/heart.gif[/img] (5.25BB, 2 players)
<font color="#cc0000">BB bets</font>, <font color="#cc0000">Hero raises</font>, <font color="#cc0000">BB re-raises</font>, <font color="#cc0000">Hero re-raises</font>, <font color="#cc0000">BB re-raises</font>, <font color="#cc0000">Hero re-raises</font>, <font color="#cc0000">BB re-raises, Hero ????, </font>.