No, unfortunately dry mounting posters printed from Shortrunposters.com does not yield favorable results.  We use a toner based process on our commercial press, similar to a color laserjet printer in an office.  This uses a heat process to adhere the toner to the paper.  When heat is applied after the poster has been printed, the toner will, in a sense, remelt and run making a mess.

The best way to mount these posters is by using a pressure sensitive adhesive such as 3M's Spray Mount or Super 77. You can also use sheet adhesive or double sided tape.