Is the Intel Core i3-3220 a good CPU for Bf3 that wont bottleneck with my Radeon HD 7770 Ghz edition.
More aboutintel core 3220
if you can get to a true quad it would be better, it might get a bit chocked on small maps with lots of people.
I cannot seem to find one for that price range $150 is my max
To set your expectations, it might be stuttery (my Q9550 was, but my 3570k solved it), but that will only be on heavily populated 64 player Team Death match games. But other than that it will be fine, the next round of games, who knows?