I use a drymount press to flatten prints also. I make "folders" out of glassine, a material that looks a little like wax paper, but is a material used in conservation for it's property of not imparting contaminants to material it is in contact with. I insert a print into each folder, then stack the folders into the press, heated just enough that I can feel the heat with my hand under the platten. I place the folders so that the prints inside line up to each other, to ensure that there will be no edge marks from one print to the other. I also lay the prints face to face, and back to back (even though, with this arrangement, they have two layers of glassine between each one).
Then I clamp down the platten, as if drymounting a print, and leave it alone until it cools to room temperature. All prints are flat. However, even if stored under weight, I find that on the day that I take them out to frame them, the temp/humidity of that day will be the determining factor of how the prints are curled - or not.
Glassine is cheap and available at art stores, and can be reused over and over.
Check out the sticky at the top of the Film Paper and Chemistry forum for an extensive discussion on this topic.
It is called, of all things, "Getting Fiber Based Paper Flat"