When I coat paper with a rod, I wet-coat on a double-thick glass sheet. Per the cold pizza-stone comment above, I've found a bit more convenient technique.
I dampen a bath towel - not soaking wet, sprinkle enough water on it that when you fold and wring it, it's fairly uniformly damp, and stick in the the freezer for 10 minutes (I'd never get a pizza stone in my freezer!) I stick the near-frozen towel in a soft cooler and take it in the darkroom.
When I have the gelatin or emulsion coat on the paper, I "cut" the emulsion away from the sides with a bondo-putty applicator thing, lay out the towel, and move the glass on top of the cold towel. The emulsion sets up very quickly this way, I usually rinse the rods and stuff off and it's set in a couple minutes. This was you can get the paper hung without sags and runs. I've been doing 16x20 sheets, so anything that helps in handling is welcome to me.