I'm sure that you're up to date on blasting of bodies, but I do have a thought.
I know that sand blasting can warp large flat panels like door skins, roofs, hoods etc, but not sure if bead blasting is in the same category as sand blasting. I lot of blasting here is done with powdered soda which does not warp large flat panels and is totally green and can just be flushed with water down sewer drains. Another blasting media is ground up walnut/chestnut shells.
I'm sure it will turn out great.
AND, it's just the right size to fit in your newly remodeled work area.
Keep us posted...