> It would refuse to chamfer or bevel edges for no apparent reason that other CAD software wouldn't have issues with.

I'm guessing you're trying to set a fillet which would completely consume one of the faces adjacent to the edge being filleted. In these cases I've found that a workaround is to make the fillet 0.001mm smaller than the size which would consume the entire face. You end up with a very very small amount of flat area but it's so small it doesn't show up during machining or 3d printing.