There is usually a specially sized mount that Showgard or Prinz or Scott, etc., make that accommodate the slightly larger mount size needed for most modern commemoratives. In fact, I picked up a package of these not too long ago:

The noted size was intended for "UN Commemoratives" but the slightly larger size also accommodates self adhesive US stamps as well. Of course, you can buy them in strips and by several manufacturers, but most use this method.
As you have suggested, hinges do not hold well and I would certainly keep away from any of that "putty-type" adhesive to mount your stamps, as it may take awhile to tell if it will do permanent damage to your stamps, at which point it would be too late to do anything about it.