When I was building rods I planned on 2 coats of finish.
I used Flex Coat lite. I didn't worry about fuzzies too much before the first coat...just made sure they weren't too bad. I put the first coat on thin, just covering the wraps. When that coat was dry I would shave off any fuzzies that were sticking up with a double edge razor blade making sure I didnt cut into the thread and taped the edge so I wouldn't cut into my finger.
I tried to make the second coat a good as I could.
When applying two coats make sure they are thin...
The low places where the shaving took place fills in. You'll never know.