Your offer of switching every 6 months sounds very reasonable, but if she refuses then I'm not sure it's worth a prolonged court battle versus just agreeing to give her the slot she wants. It sounds like a pretty even split regardless, so you're really not that far apart on an agreement.
That's the trick AS - where to draw the battle line.
She has also proposed we just do a temporary schedule for now so I can move out of the house. I'm not too keen on a temporary deal but I really do want out and into my own space....