Boyfriends dog...

Later on, I started noticing I was getting from my bfs dog. From petting him to if there's hair on the couch & my skin is touching it, I get itchy.

My bf absolutely loves his dog & loves to cuddle with him on his bed. But once I found out I was getting itchy from his dog, I asked him if he could keep his dog off his bed. I told him how sorry I was that I was keeping him away, but I just can't stand these rashes.

I only go to my bf's Friday-Sunday because of school, but when I am over I like to relax in his bed naked & clothed. My bf called me tonight & was telling me how excited his dog was when he got home & he just cuddled with him on his bed. I told him I thought he wasn't allowed on his bed because I get itchy, but my bf thought that if he put his comforter on top of his sheets, it would be okay because it's protecting the sheets. BUT, this dog sheds everywhere! So the hair would still get on the sheets & what not anyways. I told him that & asked if he could wash his sheets before I come over on Thursday, & he kind of got annoyed by me because he doesn't want to go through the hassle of washing his sheets again and the fact that he can't cuddle with his dog anymore (over exaggerating). But I told him that I'm really sorry & I wish I wasn't itchy but I am, & there's nothing I can do. He told me he'll get over it, & said he was going to sleep. 

I don't know what to really do about this because it gets annoying for my bf to have to wash his sheets all the time but I also get super itchy rashes that I can't function with. I don't know how to deal with this.

EDIT: Unfortunately I can't just go to my place for reasons I won't go into, I just have alway gone to his house for 3 years.