COBRA Affordability Act of 2010 - Amends the Internal Revenue Code to allow: (1) the establishment of tax-exempt accounts for the payment of COBRA (health insurance continuation benefits under the Consolidated Omnibus Budget Reconciliation Act of 1985) premiums; (2) an income-based tax deduction, up to $2,500, for cash contributions to such a COBRA premium payment account; (3) tax-free distributions from such an account for payment of COBRA premiums; (4) the rollover of unused amounts in such an account into a tax-exempt retirement account; and (5) employees to elect to enroll in an alternative health plan offered by their employers, in lieu of COBRA coverage.