I'm visualizing putting a sheet or something completely over it, rather than wrapping it.
I still have never seen anyone resort to that. The solution to the problem begins with water parameters - chances are there is phosphate and/or nitrate to be dealt with. Then manually exporting the existing cyano by vacuuming. At the end of the photoperiod is best, when the stuff is at its most dense.
Magnesium level should also be checked - many do not test this routinely. If that's low, upping that to 1300 or so should help combat it.
If the tank is starve of light for a few days, that will cause the stuff to die back and re-release the nutrients it has taken up, back into the water, potentially causing other issues, and not solving the underlying problem.
Jenn