Hi and welcome!
While I don't have any advice, specifically, you do sound like you're in experienced hands. Will the derm go ahead and prescribe the oral med?
I had to patch one eye when I was younger. I couldn't see out of my left eye, so they patched the right one 24/7. I was four years old and it didn't work. Basically, I spent two years blind. Make sure she does wear the patch as instructed ... the earlier you can begin that treatment, the better. It's difficult to make a child keep the patch on well.