Continuing Care for Recovering Families Act - Amends the Employee Retirement Income Security Act of 1974 (ERISA), the Public Health Service Act, and the Internal Revenue Code to allow spouses and children of victims of the terrorist attacks of September 11, 2001, to purchase or continue to purchase health insurance coverage, under the Consolidated Omnibus Budget Reconciliation Act of 1985 (COBRA), if they elect to do so during a 120-day period beginning on the date when this Act is enacted or on the date when they lose their COBRA coverage, whichever is later. Requires such elected coverage to continue for such eligible individuals unless they are otherwise covered or are eligible under Medicare.