I do not just lay out my newly-wet-cleaned cases (which are
decapped, btw) as they come out of the separator.
Upon removing the wet cases from my RCBS "spinner" I place them in heavy Old Towel #1, carefully gather the corners and long sides in my grip and agitate the cases thru the towel to encourage water drainage.
From that towel I pour the cases into heavy Old Towel #2 and repeat the process as I slowly walk to the basement Long Room where I have set out the corrugated cardboard flats on the floor in front of the north gunsafe.
The towel-action only takes a few minutes but removes a LOT of water.
The flats get stacked in front of the 16" pedestal fan that I use for air circulation.
EDIT:
I am never in a hurry to get my cases dry so they are sometimes in front of that fan for days before I get back to them. I have been doing this a long time, so I have many bags/boxes of shiny-clean cases on shelves awaiting reloading.
For a periodic rush, I would have no qualms using my kitchen oven.
If I found myself usually/always in a rush for newly-cleaned cases (perhaps only due to lack of cases and/or space), I would probably source a large inexpensive dehydrator unit to speed the process.