Speech therapy is generally covered under most major medical insurances. Check with your health insurance before making your appointment as it may require an authorization for medical necessity.
You can call the company that has your medical coverage. If it is a medical problem then it might be covered. Otherwise there is no coverage for this type of therapy.
As long as you can get a recommend from your general physician, then regular health insurance should cover you, but check to make sure since all co.s are different.
There is no such thing as Speech Therapy Insurance. If you have health insurance, contact your carrier for specifics regarding coverage, subject to deductibles and copays.