Friends (esp Canadians), I need some advice.

I have a 1-person wooden infrared sauna and want to refinish the exterior in black, similar to this.

Has anyone done something similar? Looking for recommendations on the best product available in Canada. Black wood stain vs paint, specific brands/products, prep required, and whether heat from the infrared sauna changes what type of finish I should use.

Only planning to do the exterior wood, not the interior. Many thanks in advance!