A: If you are using an inkjet printer, the quality of the image is dependent on the paper being coated for inkjet ink. It has to hold the ink in tiny droplets and prevent it from spreading. The quality of your prints is not, however, affected by the thickness of the paper. So you will need to find paper that is made for your inkjet printer, but also not too thick. Something like a "presentation paper" or "graphics" paper. As long as it is in fact made for inkjet printers you should be fine. You *can* print on regular office paper in an inkjet printer but it looks bad because the ink spreads. So be careful about the brand. Usuallyt the paper brands that are made by inkjet printer manufacturers are safe, Epson, HP for example.
If you *must* use very thick paper stock in these machines, you can work around the problem you described by cutting your graphics too small. In this case, you can cut the graphic to exactly 2.25 inches. it will not wrap around the button, and is held in place by the mylar. We even have "photo" cutters for this reason. They are located in the Paper Cutters section of the site. The Model number in this case is c2225p.