Just curious, what's wrong with writing a compiler for a C-like language in itself?
It seems to me that one of the goals of a compiler course is to fill the mysterious gap between what machines do and what high-level languages do. For maximum educational effect, the language being compiled should be the same as the language used for the compiler. Anything higher level than C would probably require a runtime, with garbage collection etc., so a C-like language seems like the obvious sweet spot.