I would place a few layers of towel on a counter, place the damp pads on the towels, and then top it off with another layer or towels to make a sandwich, and then use a short pipe and roll it on the pad-wich with all your weight.
Or roll them through a towel wringer:
Chamois/Towel Wringer
Or roll them through a towel wringer:
Chamois/Towel Wringer