Value betting standards (a TT hand at 1/2)

[cmwck]

1$/2$ 6-max Crypto

Hero is UTG with T[img]/images/graemlins/club.gif[/img]T[img]/images/graemlins/diamond.gif[/img]
BB is an 80/7/x (where x is < 1.0) calling station. His default play is to call to the river. When he gets to the river, he sometimes folds, but calls often. I'm unsure of his river calling standards, but I have seen him call with top to middle pair mostly, and once or twice he called with nothing or some pair less than middle pair.

Preflop: Hero raises, everyone folds, BB calls.

Flop (2 players, 4.5 SB): [Q[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/club.gif[/img]]
BB checks, Hero bets, BB calls.

Turn (2 players, 3.25 BB): [J[img]/images/graemlins/spade.gif[/img]]
BB checks, Hero bets, BB calls.

River (2 palyers, 5.25 BB): [2[img]/images/graemlins/spade.gif[/img]]
BB checks, Hero....??


Is this a clear value bet with 4th pair, or is it debatable, or should I just check behind?

Am I missing out on a lot if I'm not value betting in spots like this where I have third or fourth pair?