Laminate itself can handle the moisture and the heat. many can handle
the UV as well. Your concerns should focus on the substrate you will
be going to adhere to. Also, in high heat, direct sunlight, regular
contact cement might get soft. A PVA, like Wilsonart 3000 would be a
better choice, again, as long as you can seal off any water from
getting to the bond.
I think a slab of acrylic solid surface would serve you a lot better.

It's funny but I was just looking at that Wilsonart 3000. I will
probably
be bonding to grade A exterior plywood. The reason I can't use solid
surface is because a lot of the surfaces will be curved.
Lou