Jack Dover

I am wondering if the right kind of rasp would be best for removing 0.005 of wood from a tenon cheek(to use and example of a typical fitting need). I don't know much about rasps. They are too expensive to go buy and try.

A suitable block of wood with some 80-100 grit sandpaper works just well, maybe even better if you remove only 0.005" of wood on average.

There are decent rasps in "under 40$" category. The Shinto hacksaw rasp is something like 25$? It's fast and it leaves quite a smooth surface - no ridges, etc., very convenient for flat surfaces.