Do NOT consider garbage such as the 6500XT. It’s a lane-castrated PoS.
Given your use case and budget, consider the 2nd-hand market, if you aren’t averse to it.
You can pick up something such as a 2060S,5700XT,6600XT,2070S for around 10-13K, or a 3060 for 14-15K
Do not get a 10-series card because driver support for them will be ending: