You could try two things..Place a piece of a foam on each end and sides of your hoop to give added stability so your material doesn't shift..there is a contact shelf paper that that works great for this..and second try placing your stablizer on top of your hoop instead of the bottom...this works especially well if you are using a water soluable stabilizer...but it works with others as well, you will just have to be careful trimming the excess stablizer away from you design...