I have never had a wicking problem with a rug - it's hard to imagine haw that could occur if it has been properly cleaned.
However I do sometimes dry rugs face-side-down. This is in the summer, outside, and the reason is to prevent UV bleaching of the fibre tips. The rugs are up-ended over Whitney blankets, then suspended by the air-stream of two or more air movers.
(The grippers of the blowers preventing them from floating away).
Nicki,
One cautionary note. heavy rugs, edge-suspended, can distort if they are not gripped at sufficient points. If hung over a bar, especially non-wovens can suffer permanent localised stretching (even de-lamination) at the bend.