Looking a Frys you'll end up with a rather bad (expensive) and slow hardware at least buy looking at their site.
I'm not sure what you're looking for but you can get a great deal from ncixus.com (eric93se can confirm this) at the moment and they are a good etailer.
Powercolor Radeon HD 4850 625MHZ 512MB 1.4GHZ GDDR3 PCI-E VGA DVI HDMI Video Card
Intel Core i3 530 Dual Core Processor Clarkdale LGA1156 2.93GHZ Hyperthreading 4MB Cache Retail Box
Gigabyte H55M-UD2H mATX LGA1156 H55 DDR3 1PCI-E16 1PCI-E4 2PCI Sound GBLAN 1394 HDMI Motherboard
I'm not sure if you think that 300 will be enough for a full computer (that actually can play games) because that wont happen.
Just to make you understand,
The Radeon 4850 is about twice as fast as a 5570, 5570 barely passes playable frame rates in most games and it's cheaper than your 5570 from Fry's.
In case you doubt me here are some tests...
The CPU is about 27$ more expensive but its about 5-20% faster depending on application and uses a lot less power (50W during load) than the Athlon.
The motherboard is a good one that allows some overclocking if need, solid choice of components and good support from the manufacturer.
Don't skimp on it, it'll bite you in the end if you do.