I hunt public land in northern Indiana and have harvested many many turkeys on the last weekend of the season. My best advise ( i am no expert by any stretch) remain positive, be persistent but patient and be versatile. One hunt that sticks in my head was on the last Saturday of the season and was trying to get a bird for my wife. Late in the morning I got a tom to sound off to a gobble call ( it was one of the kind you shake made by Quaker Boy I believe). We hurried up and got set up and I made some soft yelps on my slate with no response. Then tried the box call and mouth call, also with no response. So i shook the gobble call again and instantly got a gobble. We re-positioned and I called that bird to within a 100 yards using the gobble call very sparingly(made him look for me). I could not see him but knew he was close so i switched to hen yelps to finish him, he went silent and the next time I heard him he was 4 or 5 hundred yards away. So i started working him again with the gobble call but this time when he sounded off at around 100 yards I gave him one last gobble and put the call down. About five minutes later my wife killed that tom at 22 yards! This bird obviously did not want anything to do with a hen but it took me a while to figure out what he wanted.
Late season public land hunting can be just as productive and fun as opening day. Seems like hunting pressure gets lighter after the first couple weeks and Toms seem to have less hens around them late in the season.
Hope this helps and good luck to you!