A loophole in California's upcoming health care overhaul could be exploited by families gaming the system or responding to hardship in a way that doctors say could leave a pile of unpaid bills. A chain of events would create a two-month period during which a family has medical coverage but no insurer must pay its claims. Nonpayment of premiums for subsidized policies would trigger the oddity: Federal law provides a three-month grace period before cancellation - but insurers are responsible only for the first month.