A rational person would look at the reasons why it says not to, and understand that there are automatic car washes that absolutely have the ability to handle the additional tire and track width.
I take mine through weekly. Mostly because it's not practical to wash it year round my self or have it hand washed every week. My truck is white. I would not take a black one through if I could help it. I am more comfortable taking it through than I am leaving salt on it here in Michigan. They do a decent job. I keep a bottle of Adams Polishes waterless wash around to touch it up when they are done. I have been turned away from a couple places. Just ask them if they are comfortable sending it through.