A 3V 5/8 dome at 16 feet in diameter will work pretty well in 3/4 inch as long as the winds are not insane. Covered in aluminet or something similar it would work really well in a wind. But you may want to make any solid covering capable of being removed quickly if winds exceed about 50 mph. The first row of triangles are basically vertical, so they can seriously tangle with the wind. 5/8 domes also have a pretty good lifting effect for the same reason.
Note that a 3V dome (just like any odd-freq dome) doesnt have a perfectly flat base. This means it will not distribute loads as well as an even-freq dome. But at 16 feet on a soft playa surface, it shouldnt much matter. Just plan on over-staking it and it should be fine. There have been some good discussions on the subject of staking that you might want to Google.
You will be in good company with this design. Take spares and have fun.
"Give me an underground laboratory, a half a dozen atom smashers, and a beautiful girl in a diaphanous veil waiting to be turned into a chimpanzee, and I care NOT who writes this nations laws"!