It is never to early to start looking......However, you can burn yourself out.
I don't know anything about when the deer start dropping in Oklahoma, but they usually start dropping at the end of December here in Ohio.
I personally will not start stomping the brush until Feb. That will give me better odds that all the deer have just about dropped and I won't have to hunt the same place twice.
I usually find a few a year, but I spend a long time walking to find those few I come up with.
People say there are better places than others to find them...I have found that if you want to find some horn you have to be willing to search every deer trail you can find. I have personally found them about everywhere.
Beds, creek crossings, fields, and just laying beside a well used trail.
Good luck it is very rewarding to find them....
Just don't get discouraged if you don't find one every time out. Chances are you won't, but then again when you do find one it is worth the work.