A $1K budget can work under 2 circumstances;
1-copy a known-working AMD rig(not my choice)
2-buy used parts for an i7 socket 1366 rig with a 980X 6 core and 6(or 12) GB of triple-channel RAM on an X58 motherboard(this is a known-solid platform and I have seen the mobo/cpu/RAM combo on eBay for around $500)
