There are other types of grass hays that can be bunny staples. Orchard grass, brome, oat hay are things I've heard others feed. Are you allergic to those?
There's always a hay cube/cake option but it's not as good for their teeth and gut as the long strands of actual loose hay.
I would suggest getting a Hypo-Allergenic Air Filter machine, it works great! We smoke, so it helps with that. But it would also help with allergies and allergensand meds along with that work.