Your quilt is precious! I have tried the wall method with larger quilts. I use the wall in the dining room! I push the table out of the way and move the chairs t another room, take down the pictures, cover everything with old bed sheets and off I go!
I get some looks, but I get the job done. I never thought to use duct tape. I will try that next time because I have had quilts fall halfway through the process! lol What a pain!