It depends on how big his home is? If his skin is as "wrinkled" as you said, it suggests he needs more than minor help, more than just raising humidity. Humid hides or a very damp towel will be more effective if you restrain his activity so he's in contact for some time- might take 2+ or more hours to really soften the dried-on "shed" skin. If you just lay the damp washcloth in his cage, he may or may not stay in contact with it. I like to use those plastic "critter cottages" with the snap-on ventilated tops* for this kind of thing, so there's just enough room that the snake stays in contact with damp cloth. Make sense?
Like this: https://www.petco.com/shop/en/petcos...eeper-aquarium
(they've changed what they call them) (And the ventilated "tubs" that some here use would work too)