IMO you can try yogurt or a small amount of cheese to see what happens. Some babies who cannot handle whole milk can handle other forms of dairy. Also, it's possible that she just has really sensitive skin and the milk irritated it because of that. I'd try as with any other new food - outlined below.
I also think you can certainly give her eggs - starting with yolks before a year and whites after. From what I've learned, eggs are not truly dairy - but more poultry. So if your LO is OK with chicken, she may well be OK with eggs. If she eats bread, maybe start by dipping egg in yolk and frying it up - like french toast. Or you can make a scrambled egg omelette or give a mashed up hard boiled yolk.
I would hold off on nuts and seeds for now - better off seeing with the dairy, eggs and other foods.
What fruits haven't you given?
How long do you plain to BF for? If she can't handle whole milk, you might try 2% milk at first (easier to digest). If that's no good, soy milk and rice milk are options.