Hello Dave,
Here are a few that I have done. On all of these boxes I went with a tongue and glue like approach to help with the cupping. On the footlocker boxes they are 12" x 22" and the are glued on one side, the front, to allow 1/4" or so movement. We don't get much movement here in Colorado but if they get moved, they should be ok. On the other lids they are routed and fit into the sides and aren't glued at all. If they expand and contract, there will be just a little relief but I wanted a clean look. Otherwise, on really big boxes like hope chests, I had to go with a breadboard.
Best of luck.
Kevin
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