Yes, American Express travelers' checks. Banks will take them but some small gas stations and stores will not. I used mainly cash on my big cross-country trip, but, yes, there is always the possibility of theft and no recourse with cash. Life is full of risks, LOL.
If you can give credit card, then it is best. If not then, travelers check are good. Small shops will not accept travelers check. All banks will accept those. I would not recommend cash more than 500. Travelers check are safe. Once my friends suitcase was stolen, he received travelers check replacement in 24 hours by FedEx.