S.B.
Just be sure that your baby arrives after the "waiting period". I think they require that you have the insurance in place for a year (I'm not positive about this time frame, so check your policy). My sister had this insurance with the same intention you do, and her baby arrived a month early. AFLAC denied her claim since she wasn't past the required time frame. She would have been if the baby had arrived on time.
I personally have AFLAC for a "specified event" and "long term care" and am considering another policy for accidents when my daughter gets older. I think they are a good company, but like all insurance-type companies, they will look for the loophole to deny you your coverage.