Saw a demonstration of over-laminating RC papers with adhesive backed film. The guy used a hard plex carrier sheet as Wayne mentioned, but added a thin but relatively soft sheet of fine art paper between the RC and the plex. The theory is that would prevent any grits from creating a bump upward into the laminate sheet, bumps would instead be impressed downward into the soft art paper sheet. The demonstrator claimed he could then "do surgery" on the back of the RC paper with an Xacto to mitigate bumps from any trapped material before going on to the mounting step. Have not laminated or adhesive mounted prints in quite a while, but should mention that almost all the RC papers I mounted by hand pressure only later developed bubbles, so it's really important to get the print and the adhesive sheets attached with a whole lot of pressure.
At the same show I looked at Coda laminators. If you decide to adopt the laminating route, spend the money, they're so much better and will last forever. I have a larger version of the cheap one in your URL that I sometimes use for glue-mounting 44" canvas. It's adequate, but lately it's developing some cyclic thumpa-bumpa which is probably enough to create ripples on harder media. In production you would probably need to replace the cheap ones more than once a year.