Do the homework. There are insurance companies that do not charge exhorbitant rates for climbers. Kemper is one that I recall off the top of my head. I think Safeco is another.
Making a fraudulent representation on an application for insurance makes the contract null and you lose the money you pay. In addition, in some cases if the insurance company has already paid your family benefits and they learn of the misrepresentation they can sue the family for the return of the proceeds. I've seen this in action. Quite frankly, I think my family will be happy enough to see me go without having an insurance company pissing on their parade to get their money back.