Have a really abstract build idea in mind and I'm looking on how I can do this for cheap. I'm expecting the lowest I can go is $200 but if anyone has anything else, by all means let me know
This is actually an onxymoron. Three fans, such as windforce 3x cooler, are mostly used on quite expensive graphics cards. Thats because they are the only ones needing that much cooling. You can find many cheap gpus even without fans.
If you want cooled temperature more than the cooler supplied by vendors, you can remove their cooler and set up your own, like in a custom water cooling loop.