A good modern oled can get you within ~2ms difference from a CRT depending on how you measure. But the catch is the TV needs to have a low latency or “game” mode that shuts off the on-board video processing. My best recommendation is to browse TVs that are oled (not qled) in your price range, and check the listing for low latency or gaming modes. You should find something that fits the bill pretty quickly.
Slower pixel response times from Qled. As far as I know Oled is the only modern display tech that can get close to CRT.