Just wanted to post a follow up. I sanded the ridges down, put several dustings over it, put a wet coat on, then sanded it again and repeated the painting. In just the right light, you can catch a hint of original spider web but, all in all, it came out looking pretty good.
The cowl came out just fine as far as the surface goes. I have a couple of lines I need to clean up, but that was just bleed under the tape.