I am curious what auto insurance companies out there, don’t require social security to give you a quote?

I have extremely good credit and would like to keep it that way. However every time a check is done on your credit report your score will drop... a negative effect indeed. Plus when you call around for auto insurance you have to call several to get a decent quote and you don't want to give out your social security # 20 plus times in one day, not to mention the risk that runs in regards to identity theft.