If US dollars, then an RX480 4GB or 1060 3GB is probably the way to go. However, for $220, I would grab this: https://www.amazon.com/dp/B01M4J144F/?tag=pcpapi-20, also available at Newegg.
Depending on your country, you might be able to find an AMD RX 480 4 GB for under $200. They're right in that price range and a strong performer. Only problem is that they're a lot harder to find than the 8 GB models, which cost more. The next model down is the 470, which isn't much slower and usually quite a bit less, but depends.