That's sad, when you are trying to do good. Can you first of all let it be known that you have allergies and find out about if they can be washed before hand. I wouldn't see a problem washing them before the batting was put on. I prefer to wash mine first then if I did have an issue with a seam coming apart I'll know it before its quilted.
My son in law lives with me, he can interact with my dog just fine, he can live with the cat in the house just fine but one day the cat climb up on him and he petted it, he ended up in the ER. He's also has bad asthma. So now he's careful around the cat. He can sit on the couch with the cat a little ways away, he just can't touch her. Which is sad because my cat is very old and just wants attention from everyone. Thank goodness he can't play with the dog. He's the first male that will play with her and pet her and she gets excited over that. My son never paid any attention to her, he only likes big dogs. I call my son in law my dogs boyfriend, she truly loves him.
I hope you find a solution for your problem. I really think you need to put your allergy problem out there and hopefully others can help with the solution so that they can get their quilts done.