It won’t matter much what font you are using, the problem is what kind of toolpath is generated, as you said a contour toolpath won’t work.
You could just select the letters and use a pocketing toolpath with very small stepover, that would fill the letters, as discussed in this thread for example:
However, since CC’s pocketing toolpaths generates spiral movements, the result with a diamond drag big may or may not look nice. This is certainly the simplest approach, so worth a try anyway.
An alternative approach is to use CC’s “texture” toolpaths and play with the parameters to get the desired finish, this is briefly discussed in that other thread: