as temperature approaches infinity, min_p must approach 1 to stay coherent.

Assuming your temp is below 2, min_p of 0.1 is fine (and disable top_p and top_k). You can try 0.05 for more diversity.

Remember that subsequent methods are better, min_p is a mid-tier sampler that just happens to be the best implemented in most inference providers right now.

Also I'm the author of the "conspiracy against high temperature sampling" thing that selfhoster posted in the comments, so you can ask any questions about that piece you want.