The 3220 is around 100-130 I think then you go up to the lower end i5s which start around 170-180 I think. Thread for thread (in game), Intel destroys AMD, but the Fx 6 core will destroy in multi threaded applications like rendering. Anyways a good Z77 mobo is the MSI Z77A-G45 its about a 100$
I would go for amd, probably best is an FX 6300. for the mobo I would go one of these if you are in america or canada. http://www.newegg.com/Product/Product.aspx?Item=N82E16813130650
This is beacuse for a limited time you get 8 gigs of memory as well. I would go for nothing less than a motherboard with the 990fx chipset though.