One thing to consider, as you know, wood shrinks/expands and glueing the large flat rigid thing to it, just be aware some glues are more flexible later, some not. It can be challenging to find the right glue for long term use. Possible, but not just anything works.
FWIW, my second-hand info comes listening for years to two different wood artists on BOTH sides of me at the renfair grouse about various glue/rigid object issues.
One is glueing mirrors in wood hand-mirrors and having to periodically repair them after a few years because of the glue (he kinda got sick of that and quit making them).
The other does walking staffs with stones and crystals. It took him a lot of trial and error over the years to find one that held for years, shock of handling, wood expansion/contraction. He did find one eventually.