Honestly whipping up a lexer/parser and a REPL is one of my favorite ways to learn a new language. You can cover a lot of ground in a "real" language by just doing the frontend implementation of your own made-up language grammar and a little eval loop and its great for learning/teaching because you don't get bogged down in trying to solve some actual problem.

Which is to say: no shame in just settling for that simple C backend!