Stats of villain on a 240 hand sample:

PokerStars, Hold'em No Limit - $0.02/$0.05 - 5 players
Replay this hand on CardsChat
UTG: $5.12 (102 bb)
CO: $6.48 (130 bb)
BU: $7.79 (156 bb)
SB: $2.09 (42 bb)
BB (Hero): $5.44 (109 bb)
Pre-Flop: ($0.07) Hero is BB with A♣ A♦
1 fold, CO raises to $0.17, BTN calls $0.17, 1 fold, Hero 3-bets to $0.70, CO calls $0.53, BTN calls $0.53
Flop: ($2.12) 7♠ 4♠ 9♠ (3 players)
Hero bets $1.65, CO folds, BTN raises to $7.09 (all-in), Hero ??
Preflop is standard I think. Maybe I could raise a bit higher out of positon, like $0,8.
Flop is disgusting for pocket rockets. After my cbet and his raise, I only have to call $3,09 to win $11,51, so I am pretty much committed. After reviewing, I don't really like my line OTT, but I am not sure what would be better.
:heart:If I cbet, can I fold after a raise,
:heart:Should I just ch/fold here? It seems a bit weak to me, isn't it?
:heart:How would the situation change if I had A♠:?
VS