Sounds like this might be your area of expertise. For the rest of us, take a shoebox. How much ballpark extra weight we talkin’ to have a livable planet? (Maybe the mushrooms would be ~2x as heavy as standard shoeboxes for example, to meet existing spec.)
Or how about for the glasses box they show on the site in OP, or a plastic sleeve like Americans sell Oreo cookies in. Anybody have any guesses?