I doubt that it’s a good thing to try to “force” a prescription for Accutane, particularly if you (as you described) have “relatively clear skin which breaks out randomly and is extremely oily”.
What sort of things has your doctor tried? Generally they don’t things at random, but it can take tests with different prescriptions to find something that works for you.
My impression of Accutane (it was offered to me, but I decided that mine is really not bad enough to need it. A topical antibiotic does the trick) is that it’s for severe acne, not “I get some zits occasionally, so I want this wicked strong prescription”. I doubt that you’ll get your doctor to prescribe it.