OoP float, line checking

[CanYouCallThis]

Poker Stars
No Limit Hold'em Cash Game
$0.05/$0.10 Blinds
6 Players
Lego Poker Hand Converter

<font color="black">Stack Sizes</font>
SB: $26.55
<font color="green">Hero (BB): $9.80</font>
UTG: $11.05
MP: $3.40
CO: $8.40
<font color="green">BTN: $9.45</font>

<font color="black">Preflop:</font> 3[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/spade.gif[/img] ($0.15, 6 Players)
UTG folds, MP calls $0.10, CO folds, <font color="red">BTN raises to $0.40</font>, SB folds, Hero calls $0.30, MP folds

<font color="black">Flop:</font> 7[img]/images/graemlins/club.gif[/img] T[img]/images/graemlins/spade.gif[/img] 2[img]/images/graemlins/spade.gif[/img] ($0.95, 2 Players)
Hero checks, <font color="red">BTN bets $0.70</font>, Hero calls $0.70

<font color="black">Turn:</font> J[img]/images/graemlins/heart.gif[/img] ($2.35, 2 Players)
<font color="red">Hero bets $1.50</font>, BTN calls $1.50

<font color="black">River:</font> 7[img]/images/graemlins/heart.gif[/img] ($5.35, 2 Players)
Hero checks, <font color="red">BTN bets all-in for $6.85</font>, Hero calls $6.85

Which lines to improve on? Fold river? Villain had encountered a hand like this 10 hands back, in which he had an overpair, and he pushed the turn, so QQ/KK/AA was not in his range from my point of view.