"Overlapping" may help. When you put on the new patch, leave the old one on for a half or full day before removing. If that doesn't work, you could try switching to the weekly Climara patch and "overlap" it if you still have the migraine trigger. I used the patch for over a year and it didn't work well for me due to the fluctuations and not giving me enough estrogen. But it did not cause migraines but I was never one to suffer with those, thankfully.
Hope this helps!