Blow dry the car with a leaf blower, electric or gas, instead of any kind of cloth.
But mine is nothing like showroom condition. Chicks dig scars......... Maybe I am just too particular,but mine after all these years is in show room condition because I avoid water when possible.
You can use a microfiber cloth as long as it's clean (and you've removed tags, etc.). If you're going to blow the car dry, I'd use something like the MetroVac MasterBlaster, which is designed to be a dryer and has better filtration than a leaf blower.
I prefer cotton, dries the car better than synthetics. My wife checked out all the cotton towels as she went to the stores. Here is a very soft plush cotton towel sold at JCPenney.
Consider using Optima No Rinse or other such product to avoid having to spray water everywhere. I use it and am very happy with the results.