Hi Lisa,
Aspirin, acetaminophen can cause rebound headaches if used more than twice a week(reference book: heal your headache).
What not try Meclizine and see if it helps the dizziness for acute attacks. It is over the counter and non-habit forming.
The other option is “triptans” but these rarely work as timing them is very important. You need to take it right before the aura stage and my headaches don’t follow any stages or sequences.