when you run a progressive you size and go immediately to case mouth belling and powder charging.
you would have to be running single stage to tumble your cases after resizing to remove the lube or am I missing something?
for me, I just load them up as normal and when I do my final visual inspection before putting the rounds into a tray for storage/range, I just give them a quick wipe with a micro fiber towel. I have also just dumped them onto a dish towel and rolled them all at once to remove the excess lube.
New to me brass gets the single stage treatment with trimming ans such.
Once I've fired my reloads, they go through the progressive. Tumble, spray, load.