I have been hanging them back to back as described here for about 20 years, always works well for me. After taking them down, if they are not stored under pressure, the sides will re-curl to some extent, depending on the humidity. When I go to frame, I give them a few minutes in the warm press, then either dry mount, or hang loose under an over-matte. As mentioned above, the only long-lasting flatness is from dry mounting. Even under the over-matte, the edges will eventually try to lift up, if a large loose print.
I used to use screens, but felt that the hanging is clean and simple.