A few years ago I had the opportunity to talk to my Vet about this subject. His recommendation to me at the time was to set up an account at the bank with a couple hundred dollars or so in it, and deposit the monthly insurance premiums into the account. He mentioned a few of his patients caregivers had run into troubles with the insurance company and hadn't received the monies that they had expected to receive from the insurance companies. As he said, in this way, if your animal is relatively healthy for its life time you will end up with a tidy sum of cash in the bank.
I would have to assume by the looks of it, things haven't changed much over time.