My suggestion would simply be to either extend the firearm hunting season or create a whole additional firearm deer-hunting season.  After all the drama about measures in the Michigan Legislature and among parents to preserve hunting traditions and expand the number of hunters (and how the season begins when it does to insure the continuance of the local populations of the deer species) we can remember what the Lansing State Journal published even earlier, an editorial noting that the deer herd in Michigan (and apparently they count it as one whole herd) needs thinning, although their prescription is not at all about freedoms for the people and more about government-made, government-executed solutions.

What the LSJ editors said on November 5th, 2010:

Unless major changes are made to state policy handling the deer herd, these urban interactions – which can quickly turn damaging, even tragic to human and deer alike – also will become an unremarkable matter.
And that’s something Michigan cannot afford.
Michigan is high in auto-deer collisions, according to State Farm Insurance, which estimates the average cost of such hits at $3,050. And, sadly, auto-deer collisions cause fatalities for humans, as well as for deer.
The problem for Michigan is that the deer herd is increasingly locating itself where most of the people and cars are.
In 1965, Michigan had fewer than 1 million deer, with the overwhelming majority of them concentrated in the Upper Peninsula and northern Lower Peninsula. Since then, the herd in the southern Lower Peninsula has been on a relentless climb, even as the proportions for the other two regions have shrunk.
As of 2008, the state was estimating about 1 million deer lived in southern Michigan alone, with the herds in the other two regions totalling about 900,000. There are more deer in Michigan and far, far more of them live near Lansing, Grand Rapids., Flint, Saginaw, etc.
In fact, the deer density in the tri-county area actually is higher than the relative densities found near Marquette or on the Keweenaw Peninsula on the northern rim of the U.P.
Deer harvests are about five times higher than what they were in mid-1960s. And, as the state’s deer management plan says, “Michigan has more hunters than any other state save Texas, and despite our troubling times, nearly 1 million of us go to the woods and fields every fall to hunt and otherwise experience our abundance of wildlife and open lands.” Nevertheless, the deer herd is surging right in the part of the state where it can do the most damage to Michiganians and their commerce.
It’s increasingly clear that the state cannot rely on volunteer hunters and its traditional methods to control the herd. Publicly financed hunts and other containment measures should be on the agenda for the Snyder administration come January.

They never actually proved that  traditional methods cannot control “the herd”, they simply say that because so far the traditional methods have not controlled the herd under the current circumstances, conditions, and constraints.