the damage to the paint is done when washing the car, not when drying.
when washing bcs. dust or mud sticks on the cloth-cotton or a common sponge- and scratches the paint of the car when moving the cloth in circles , thus the spider circles in paint.
now mfiber or sheep glove are better when washing bcs. they trap dirt inside the fiber and trap it until it will be cleaned with clean water and dried again before next use, second hand washing.
when drying the car immediately after washing ,samois or mfiber doesn't matter at all, no damage to the paint.its just a clean paint and water.
spider circles in paint , you cant avoid them but with a big mfiber towel on drying ,with slow-mild tapping the towel and not move them on the paint then you might reduce -delay the spider circles.
well after all these years of washing the car at home i got tired.so i go to the wash park and i let them washing it, with high pressure spray hoses and some mfiber glove only at the bottom and when is necessary, mud or after days of raining ,then the perfect drying with a big air-drying machine .just a little tapping with a towel or samois where it has some water drops are left, and paint is fine.
6 euros costs me ! but i have a good service and most of all i am relaxed!
the trick is not to let too much dust ,too many days with bugs on grills.wash every week when bad weather or twice a month in summer.