I've had luck buying lexan and thick plexi cutoffs at local glass shops. They normally do a lot of commercial work, so they work with those materials. I've picked up ~1'x2' scraps of 1/2" plexi for around $20. It may be worth making a call to see what they have lying around. You could put smaller windows in the sides, and make a sandwich of ply, foam, ply for the areas you don't need a window. That should help with the sound.
It shouldn't be to hard to bang out an enclosure out of plywood, much cheaper than the 80/20, even if you had a cabinet shop do it. Unless you use a lot of liquid coolants, then plywood would be no good.
The problem won't be high frequencies, but low ones, they'll travel through the plexi/lexan. But I would think with mostly V-carving you would mostly have the high frequencies.