... However, I would appreciate any other suggestions for mounting before meeting with her.
OK, without seeing the shapes, here are a few random thoughts:
1. Build a shadowbox that opens/recloses and stand each one on a glass shelf. For example, a Slider or SlipOver frame would involve an inner frame attached to the wall, with shelf to contain the figurines. The outer frame would lift off for easy access. No tools required for access; no latches, hinges, or other visible hardware needed.
2. Thin clear film straps, maybe 1/16" wide; one or more for each figurine. Or strap them using thread of color to match. Perhaps a stand-off spacer may be carved from 1 or 2 layers of foam center board and placed on edge behind each piece.
3. Cut a multi-window mat and build a small box behind each opening to contain each figurine. Hold them in their boxes by covering the back of the window mat with clear film.
4. Build (or contract fabrication of) a snug-fitting glass or clear acrylic box for each figurine, with front left open. Secure the boxes to the backing board by glue, or better, screws behind an opaque backer in each box. Hold the figurines in their boxes by the glazing.
If these figurines have no significant value and you choose to glue them, be sure to use a good glue. A lot of framers just use whatever is handy, and that could be a mistake. If the glue fails to stick to either of the two surfaces, or if one of the surfaces deteriorates/shreds/fails, then the mount would fail. That usually happens upon some kind of impact during handling, or maybe an earthquake. Do you have earthquakes?