Are you sure it's fungus? Or metal pitting from age? Odd as it may seem, old metal on and in vintage cameras and especially the cheaper consumer folding ones of the 1950s, can be fragile, and scratches easily even with fingernails.
Many of the older folding cameras seem prone to pitting. Some time ago I tried restoring a Zeiss Nettar 6x9 (which also scratched film, among its many problems) for use, but I eventually gave up due to the endless small problems I had to deal with, from holes in the bellows to metal pitting to wonky shutter speeds to fungus on the lens blades to interior paint peeling. This Nettar is now a shelf queen as the exterior looks to be in pristine condition, too bad about the rest.
The bellows on your Sears look to be in good condition and order but you should check them for fungus as well as light leaks.
Good luck with it all.Restoring a camera can be fun, but try to not go overboard with the work involved. Common sense would be that if your Sears is too much of a handful to deal with and continues to scratch your films, you should just bite the bullet and find another in better condition. There are many of these out there.