Are you under 18? Why are you letting your mother dictate your birth control choices? It doesn't matter if you're on her insurance. You get to make decisions about your own body. It's none of her business.
That said. Hormonal birth control turns me into a 24/7 monster biatch eat machine. The only thing that has ever worked for me was Mirena... and then my husband got the big V. That works REALLY nicely!
Bottom line. Your birth control choice is between you and your doctor... don't let your mom dictate your health.