I tried the various solutions listed on this thread, to solve the same problem. After deleting the Data and Macintosh HD volumes I attempted to reinstall Big Sur, but when it gets to "select the disk where you want to install macOS nothing shows up. What next?

Just thought of something. I deleted both volumes, but didn't create a new one. I just created Macintosh HD and reinstall system works. I must be brain dead this morning. Thank you to all who posted solutions!