I moved to Topeka about a year ago from southeastern KS. I still hunt back home but have did some glassing around up here. I see quite a few deer around Perry lake, there is quite a bit of land there to hunt. If you travel the whole state then I would pick up a walk in hunting map at wal-mart, and start from there.
I have picked up a few spots to hunt on up here by knocking on doors, but if you head out into more rural areas you could probably pick up decent spots in no time with some time spent on back roads.
Good luck on finding a spot!
Justin