I have a friend whose husband smokes and she has lots of cats! However, he is not allowed to smoke in the quilting room and she puts my quilts and batting in a large bag and stores it in a room that cats and smoker do not go.
I have allergies to cats and asthma triggered by smoke and my quilts never bother me when she sends them back. I know this works for her because I cannot visit her for more than 30 minutes until she says, "get out of my house, you're rubbing your nose and scratching yourself!" Only a true friend would order me out of her house (for my sake)!
Please note though, if you have central heat and air, you need to block off the vent to that room or the smell will travel.