I'm well aware of the opinion of sani-flos in this newsgroup and elsewhere, but opinions seemed to suggest I might be safe with a shower-flo (no grinder, just a pump). We had one hooked up in the office when we installed a shower, which also serves the kitchen and bathroom sinks.
It has lasted two weeks, and now appears to be blocked. Fortunately some work is still being done, so I can just get the plumber back, but it doesn't bode well for the future.