That will be the best way to go, glue up 4" to 6" wide by 1.25" to 1.50" thick wood. 36" to 40" diameter is a decent size so the thicker the better. Remember to alternate grain direction in the glue-up to keep cupping to a minimum.
The thicker you make it the more detail you can have in the model and if you use a flat bottom dish you can get the most detail.
I would consider using a hardwood like oak, maple or walnut, instead of the pine, it might cut cleaner and leave less cleanup. You could submit 2 bids, one for pine and one for hardwood, and let them decide.
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