Cutting thick wood veneer on band saw?
Yep. The Band Saw would be best, since it cuts downward &amp; will avoid any face chipping. If it's not currently cutting downward, for some bad reason, then you'll need to flip the band &amp; therefore restore the band saw to normal &amp; safe operation.

The warped piece might be scrap. But, you can try putting it in the oven or in your really hot attic or out in the Sun on something black. This will hopefully temporarily loosen the glue for a weighted compression or flattening. Possibly upside down with a central spacer to over-bend it backwards, so the new tension releases the old tension until dry again.