Hi Andrew.
I followed your instructions and can now, from my 2019 MacBookPro running BigSur, print to my Epson 3880, 7880 and my multifunction WF-3640. The installation process had some dramas. For my first attempt I installed the 3880 software successfully but the 7880 install failed. I reset everything and started again with the 7880 first. I tried the driver from Epson Australia first but it failed to install (this may have been the problem with the previous attempt). The same for the driver from the US site. Finally, I tried the driver from the Eu site and it installed. I can print from Lightroom, I can do a nozzle check and a head clean but the Epson Printer Utility 4 wouldn't activate. However, this is sufficient for my needs.
With this almost complete success, I re-tried installing the 3880 software from the US site. It installed properly and gives me access to Epson Printer Utility 4.
I aded the WF-3640 to the printer list last.
It has been a frustrating and slow process getting these drivers working. The solution has been relatively simple (although not at all intuitive) and should be documented on the Apple web site. I had an extended phone call with an Apple engineer and, while trying to be helpful, he basically defined the problem as being something outside Apple's responsibility. I understand that Apple applies rigorous testing before they allow software to be used inside their environment, issuing digital certificates amongst other safeguards. With this apparent level of protection I fail to understand why I had to take a less than straightforward route to installing printer drivers.
Despite my rant above, I am very grateful for the guidance from Andrew and others on this site.
Rob Wignell