Get health insurance for you. If are headed into wilderness then consider insurance that rescues you. If a visitor to America has a visit to the ER can be $100s if merely a dizzy spell. Add in an ambulance ride and is $1000s. Add in surgery and is $10,000s. Heart attack with some overnight stays and can head into $100,000s. Medical bills are a leading reason for middle class American families going into debt then bankruptcy. Financial stress is a leading reason for divorce. Get health insurance for your time in America.
Gear can be replaced so I would not be as concerned re property insurance. Is best to keep and eye on it when you can. I carry my optics and electronics onto the airplane rathe than check. You have to check your rifle so some risk there. If have gear in a vehicle and are stopping for the night then bring the expensive and critical items into the motel room. If eating, park where can see the vehicle. If leaving items in a tent while out hunting for the day then you can lose some gear but presumably you have your rifle and optics with you as well as some of your gear.