Use Hi-Tech fabrics 'patagonia' etc and build a place that will serve as a clothes dryer.
The Hi-Tech stuff can be rinsed in very very little water to remove the salt and at least most of the stink (few drops of vinigar in rinse works wonders) and then squeezed almost dry. Hanging up on a
line in the cabin they will mostly dry just hanging for an hour or two and body heat will finish the job, but better yet a homemade dryer will dry them out very quickly.
One can
rig a dryer many ways. Have an empty locker with some open racks to put the clothes on and a heat source and a small fan to circulate the air.
(1) Fan can be natual air ducted from a dorade vent or a 12Volt muffin fan like those used to cool electronics gear and they use very little power.
(2) (a) The heat source can be a heater core (small radiator) from a car heater (cheap to buy new at auto parts store) and piped to use the hot water of the
engine cooling water. (b) Any other heater in the boat can have some it's heat siphoned off and directed to the locker.
Hi-tech / quick dry is the key. Wool is a natural fiber that does well in damp and if you use the fine/soft grades of wool it is great but they do not dry as quickly and easily as hi-tech. Lambs wool, alpaca, angora, casmire all are so effective/comfortable that in a pinch you can just wring them out when soaking wet and put them back on and be surprisingly comfortable.
Throw the cotton stuff away or at least don't use it on the boat.