If you want to hinge the photos, starch paste usually will adhere. If you want stronger hinging adhesive, use a Lascaux emulsion or acrylic medium.
Hinging generally will not cause a photo to wrinkle, cockle, or buckle. The usual cause of that is a frame that's fitted too tightly. If the overlap of the mat on the perimeter of the paper restricts its ability to expand and contract. That will cause the paper to wrinkle. A tell-tale symptom is when the paper ruffles at its restricted edges. Or, if the frame is never exposed to environmental changes that would cause it to expand or contract, it might stay flat even in a too-tight frame.
If these large photos have been rolled, the "memory" of the paper's fibers probably would cause wrinkles or waves. Permanent, overall mounting is the only way I know of to stop that, but it is caused before the framing, and isn't due to anything that happens after the framing.
I suggested edge supports because I believe a 20" tall photo on RC (or similar) paper would not buckle under its own weight, so long as the entire bottom edge is supported and all edges are covered by the window mat. I would not recommend using corner pockets, as they support only the corners, and with the bottom edge unsupported, the paper probably would sag in the middle.