In theory, it should work. A variant way would be to use a slide-copying setup -- a macro lens, light source, etc. so that you could copy using a camera. This would let you easily control exposure, introduce filtration, etc., so you could bracket and play with filtration if you're unsure of what you'd need.
I'm not sure what film would be best in terms of contrast control. I'd think Kodak T-Max 100, Ilford Delta 100, Ilford Pan F+ 50, or Efke 25 would be good options in terms of keeping grain to a minimum.
An entirely different approach might be to print directly from the slide onto B&W paper and reversal process the paper. Of course, as the paper is red-insensitive (unless you can get your hands on some Kodak Panalure), the color response might not be appropriate, depending on your subject. I'm afraid I don't know much about reversal processing of B&W paper, but I do know it's possible.