$500 just for the GPU? You can get a GTX 1080 for that money.
I suggest Asus Strix or Evga ACX 3.0 or MSI twin Frozer/Seahawk.
https://www.newegg.com/Product/Product.aspx?Item=N82E16814487244&cm_re=1080-_-14-487-244-_-Product
Although for 1080p. You don't need that much horse power. A 1070 or 1060 6GB will do just fine.
As for the CPU, you can get an i7 but that is pretty overkill generally but you will get really crazy performance with an i7 + 1080.
If you are looking to spend less though, getting a Ryzen 5 1600X + 1070 would be a more value friendly option.
PC Specs: CPU: 7800X3D || GPU: Strix 4090 || RAM: 32GB DDR5 6000 || Main SSD: WD 2TB SN850







