Not to discourage anyone but I work in the car wash equipment industry and while "brush" type automatic car washes are the worst on a cars' finish, the touchless ones aren't real good either. Also automatics can be quite expensive as well. My experience is that the average cost is around $6-$8 while I can thoroughly clean my vehicle for $4, including the floor mats at a wand wash.
They trade off the brush action with harsh cleaners and ultra high pressure which also beats on the finish. Some recycle water as well and that's not good.
Yes people are often too busy to hand wash a vehicle but the most effective way to safely clean your vehicle is at a modern wand wash and then hand dry it with a soft towel or chamois. The antenna will not be an issue then as well. In the areas that use road salt & sand in the winter try avoiding the foam brush on your paint in the winter, due to residual sand and grit left in the brush. It acts like fine sand paper on your finish. If you do want to use the brush then clean it first, wash the car with the wand first and then use the brush.
Don't forget to wash the door jambs and wheel wells which many touchless systems miss altogether.