I’m planning to show WIP examples at next Wednesday’s showcase - Pangeo Showcase: "Geospatial reprojection in Python, 2024 - what's available and what's next".
For your specific questions, the struggle is with Web Mercator tiles at zoom levels 0-2. You can see the motivations for my ongoing exploration at the end of this notebook - Tile Generation Benchmarks using CMR – Tile Benchmarking. What infrastructure are you using for COG generation from MURSST?