There is NO government entity that patrols lake jordan. I have NEVER ever seen a wildlife officer or otherwise on the water there, and I am told, that the reason is because the office doesn't exist. The Corps. of Engineers own the Lake, so I'm guessing that its up to them to patrol it.
Using a VHF on Jordan would be useless honestly, especially this time of year. The lake is a ghost town unless its about 65 degrees. During the summer you might find some budweiser-powered rednecks monitoring some channel, but I don't know if you'd want them coming to your aid, they might cause more pain than anything else.