If you are worried about oats I can give you some alternatives from this book.
Also, don't worry about giving other less breakfasty food. So what? Bacon and sausage aren't remotely breadkfasty really, we wouldn't have pork and steak for breakfast yet have these.
It's just tradition and culture, so give her what she likes whatever time of day it is.
The rice milk isn't so bad in porridge I found. Soak it over night so it's a quick heat up job in the morning.