Out of sight, out of mind.
I would actually recommend a brushed carwash to get road salt off though. A lot of the spray (touchless) washes will just move the salt around and can't really get the stuff that's working it's way into your paint.
Another good suggestion to save some money would be to fill a bucket up w/ hot water and dish soap and just use a sponge to clean sections of your car in the garage and then just use a towel to dry those sections off. It'll take some extra time but you won't freeze certain body parts off and your car will be clean and you'll have $10 in your pocket.