Ahh, I was looking at the print part. The one of the existing Kodak C41 processes does not wash the negative, but just renders them for scanning and then they are discarded. You get a wash free CD or DVD in that case and some prints. Some stores do wash the negative and do return them to the owner.
AFAIK, there is no truly "dry" process except for the thermal processes and lamination processes, some of which were described by Haist.