Instead of a hotel towel, try the same technique using a synthetic chamois such as "sham wow" or something similar from an auto parts store. It can absorb much more water and a chamois will dry much faster than a towel. Most motels have a fan in the bathroom--leave that on for air circulation when clothes are hanging to dry (even if the clothes are not in the bathroom it aids in circulation). Finally, if there are a few damp places on the clothing when you wake up, hit them with a hairdryer, which 99% of all motels have in the bathroom.