I've combined drypoint with collagraph successfully (in my view anyway!) so I don't see any problem with combining with carborundum. See the post in this forum "Window on the world" to see it.
Edit: I see you want to do this in one pass, which mine isn't. There may be an issue in that case, since I use higher pressure settings for drypoint to those for carborundum/collagraph. I have done one in the series I mentioned using the collagraph settings by mistake on the drypoint. It still worked, but the ink transfer was incomplete and much softer. It might be less successful with a different image.
Edit2: A friend of mine has made very successful and complex prints with texture paste applied to thin acrylic sheet as well as drypoint, so it can be done. I'll see if I can find an image online.
Edit3!: Here is a link to one of these prints in her Etsy shop. I can't find another one online.