Short term liability for a rental car

Where can I purchase short term liability insurance for a rental car? I will be renting a car in Tempe, Arizona and already have CDW and LDW through my credit card. The rental car company wants $24 a day for liability coverage. Can I purchase this type of insurance another way? I do not have car insurance as I do not own a car. I am a US citizen and a resident of Wyoming.

As you do not own the vehicle, your only other option is a non-owners policy which can be purchased some insurance companies. However, most insurance companies don't sell temporary insurance - regardless if its owned or non-owners. So, your best bet would be to cancel after it is not longer necessary.