From some other people I know, general practitioners are more likely to prescribe Vyvanse or Ritalin than Adderall because they're much less easily/commonly abused, whereas psychs with a diagnosed patient prefer Adderall because it's just better.

Vyvanse is pretty much the same active ingredient as Adderall but designed (in multiple ways that are more complicated than anyone cares to know) to be way less possible to abuse. Vyvanse doesn't have a generic so it's a little pricey.

Ritalin is a different simulant than Adderall that has a shorter half life and is less commonly abused for a couple of reasons.

You might have better luck with getting a prescription for one of those two if your doctor isn't willing to give you the good stuff.