QDM is a combination of whietail population balance, habitat improvement and browse improvement and herd monitoring. You would need to talk with your local game warden and or local biologists and tell them what you are thinking about doing. They can tell you all the legalities of what you can and can't do on public lands.
Would it work on public lands? Im not sure just because you don't have any hunting pressure now doesnt mean you will not have any hunting pressure in 5 years from now specially it being public land. That is when you efforts would start paying off as well. QDM is not a short term ticket to big bucks, but you see your efforts paying off in 3-10 years.
That would not stop me though. Any enhancement you make to the land and herd for the good of the deer is a satisfaction in itself. Whether it just be a small hotspot of clover or selective herd management. Just check the laws of what you can and can't do on public lands.
"The deerskin rug on our study floor, the buck's head over the fireplace, what are these after all but the keys which have unlocked enchanted doors, and granted us not only health and vigor, but a fresh and fairer vision of existence" -Paul. Brandreth