Looking for the Z77 is fairly limiting these days, and I assume you'd be after that because you have the K variant of CPU.
A quick check on newegg (assuming you can order from them - I cant), shows that you could get http://www.newegg.com/Product/Produc...2E16813157293R for $100. This has the right chipset, and 4 dimm slots.
Otherwise, only replacing the CPU and Mainboard, PCPartPicker shows you could potentially get a i7 4790 (non-K), and a MicroATX board with 4 dimm slots, that just squeezes into your $350 budget (ok, rolls over by 77cents). http://pcpartpicker.com/p/hj2rjX
Anyway, as MiRai said, with your experience at putting these things together, you could be looking up this stuff yourself.
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