Hello dbrewood,
I understand your excitement to try out the macOS Big Sur beta. I had entertained that thought also!
However, a casual search of the Macrumors forums indicates that it may not be worth the risk at this point in time.
For example, see
Hey everybody, wanted to provide a word of caution to those considering installing the beta. I woke up this morning to my Mac in Activation Lock and saying that my Mac is linked to another Apple ID. I tried everything (booting into recovery mode, safe mode, erasing and removing from iCloud) and...
forums.macrumors.com
I personally would not recommend installing Big Sur right now. If you can't resist the temptation, you should
install Big Sur on a completely self-contained, non-critical system. If the install breaks the system, then you'll still be OK.
Good luck on your decision.
richmlow
Darn...... so it looks like the only option will be to partition the hard drive on the Mini ..... ?