It does depend on what type of vertigo you have. I will not do any rides that whip me around or spin. So, you can count out Star Tours, SM, EE, RRC, etc. I walk the line in riding BTMRR, Dinosaur, TSMM, etc. I also find that I have a sensitivity to drastic light changes, so lights flashing in my eyes, switching from dark to light, etc. I also have Meclizine - just chew the pill (absorbs faster). I also have a prescription for nausea that dissolves on my tongue in the event my dizziness isn't controlled by the Meclizine.
You know yourself best so don't push it. It's not worth it.