Many of us have no realistic choice but automatic washes in the winter! I'd rather get the salt off than worry about minor swirl marks.
For winter, the pull in and stop, high pressure, no touch washes work well (except for the wax stripping soap used by many). That can get rid of the salt and not ruin the paint. Winter is the worse time for fully auto car washes - some of that salt from the previous car is on those brushes or rags and it's then dragged or ground into your paint. I would drive a few minutes further for a touch-less wash on a $45K+ investment.