No, unfortunately we do not have a cooling-off period at all here in Arizona.
A CSR at the Arizona Department of Financial Institutions told me I could cancel both policies. I've been trying to figure out the best way and time to do that... as I said, I don't have any evidence that either policy has been issued yet. I would like to see the deletion of both of these add-ons bringing down my monthly payment. But, I read elsewhere on the Net that it may have no affect on my monthly payments. Instead, I may get a refund, minus a cancellation fee, from the issuers of both coverages... which might not be bad either. Those refunds would cover my payments for up to 6 months.