Well, PC darlin', you were given several very useful and foolproof methods to deal with this oh so serious behavior problem in the previous thread same subject. Both yours and Jake's. All of which you said were not an option.
You are therefore DOOMED. So suck it up and accept your fate.
By the way, if you happily put your head down and sleep where a dog has been rubbing his butt (and heaven knows what else! Is Jake neutered?) I wouldn't think you would object the least little bit to a few dog hairs from your loving, sensitive, adorable and manly companion.
DOOMED. Buy a cover for your sofa.