A touchfree car wash should not do any damage to your vehicle. They are designed to use high pressure water to clean the vehicle instead of abrasive brushes. Under no circumstances should the water pressure damage your vehicle’s paint. If it does, contact the owner of the car wash and file a claim with them. Car washes that use bristles can do significant damage to your paint, so whenever possible use a touch-less car wash. Coin operated touch-less car washes are common in most cities and towns. Most of these car washes charge between $7 and $18 for a basic car wash.
For more info, see How Many Car Washes is Too Many