You can definitely use PowerToys' PowerRename utility to do this, although it will undoubtedly take a long, long time to trawl through 220GB of files.
Without knowing which characters your compression software is choking on, you'd have to play very safe. Here is an example; the two files in the folder I selected have names containing å, ð and ó, which may be out of gamut although Windows doesn´t mind them. Note that I selected Use Regular Expressions which allow me to specify a pattern rather than text. The pattern I chose is
[^A-Za-z0-9-_]
This just means 'find any character in the filename that isn't (that's what the ^ does) one of the characters A-Z, a-z, 0-9, - (dash) or _ (underline)'. The dash has to be preceded by a \ ('escaped') because otherwise the program would try to interpret it in the same way as the one between A and Z. Escaping means that the program will treat it literally.
In the Replace box, I have two dashes, so you should be able to tell at a glance that a character has been removed after renaming.
Match All Occurrences must be selected when using regular expressions. I chose also only to check the filename part ('Item Name Only') assuming that the files have meaningful, normally-used extensions like doc or jpg.
You can see the results before committing to the changes.
I suggest you experiment a bit in a sample folder before using it on your precious backups.
