This will probably provoke a few laughs, but I say Maine
The potential is there, although we may not have the advantage of farmland nutrition that many other states have. There are no antler restrictions here, and many hunters do shoot young bucks for meat.
However, there are some bucks out in the deep woods that nobody has even laid eyes on before, so the possiblility exists for record book racks. The descendants of my great-grandfather's 22 point typical are still walking around, probably close to where I now hunt