In Detroit (home of the 'Original $2 Car Wash) we have been fighting the price war for over 15 years. We have a few $1 washes and some that wash for free on Friday and Saturday night after 8pm or if it rains to "keep them in the washing habit".
A chain with 27 $2 locations will force the next competitor to compete dollar for dollar. Thus if each location has a minimum of 3 competitors, you end up with 108 $2 washes. In many cases, I can often count 5 washes in one square mile. The only way to make money (pay the bills) is to have high traffic volume, visibility, signage and easy ingress/egress and more than one location. By the way, the wash volumes here have been dropping yearly due to poor weather patterns - last years gas prices didn't help nor does losing 30,000 auto workers to unemployment. We're down 30% from 4 years ago.
You will not compete with the $3 location because its about the price. If you want that customer, its about the price. Put the services out there and charge for them. I've been to the GooGoo in Grand Rapids and that guy was sold a bill of goods. He is in between two well run carwashes and on a street that has nearly a dozen more for motorists to choose from. The only thing he did was muck up a fairly saturated street - but at least the existing operators were getting a fair price for the wash.
We have seen the costs of operating washes start to impact the Original $2 chain and thus they have risen in price to $3 in many locations. But understand what they offer:
Soap, underbody, single polish wax, drying agent. That is thier best wash. Take away underbody and polish wax, and you have the basic wash.
My 2 cents. Charge for the level of your service and target those customers.