Can anyone answer a replacement for hay?

Apparently, I have gotten a bunny recently! It is adorable! as much as their adorable they're a big responsibility for sure! need lots of food, attention, and make sure they don't bite wires if they're free to roam. But recently while setting their cage I had a very horrible allergic reaction to the hay, Timothy hay, I got from the pet store. I got sent to the hospital during the night. Puffy eyes, runny nose, and couldn't breathe too well. I never knew I was allergic to hay. So yay Hay's fever!? But yes I need help to finding newer hay to add to his cage, my so-called "Guardians" are deciding if its the hay or the bunny that made me allergic but believe me. I had that bunny for 5 hours with me alone hiding behind me and all before I started setting up his little new home. Once I opened that bag. That's when it all started. So please help find out what type of hay do I need now? Is there some sort of replacement for the people who are so allergic to it for some weird reason? I handled hay before I am rather very confused with what is going on with this issue! Thanks!