I was just in the same situation, and I scoured the COTH boards and here is what I learned:
If you’re going to clip wet, clip soaking wet. Damp hair clogs clippers. I can personally vouch for this, because when I went to clip after the bath, the horse was 90% dry, but the areas that were still damp caused my clippers to gum up and start “chewing” at the hair. This was a pair of brand new blades.
My advice, go old school- bathe, wait, wait, wait for your hairy monster to dry, show shine the bejesus out of him and then clip.