Your welcome on the help, all the members here try to help anyone that comes here with questions.
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Even though there are woods around your immediate area the deer will travel a few miles to feed if its good quality and quantity and they have water and cover for safety to hide in nearby, if there are corn or soybean fields a mile or two away that might be where the deer have gone and why you don't see many right now. Deer will nibble on the new fresh leaves on crop plants as well as on grasses, etc.
Nuts/Mast are gone soon after they fall from the tree's in the fall, deer, squirrels, turkeys, etc. gobble those up quickly so its very doubtfull the deer are eating any nuts now.
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On deer trails the more beaten down the better as it means a lot of deer traveling that area and if its rained and you see fresh tracks that tells you its recent movement.
If your land has cattle on it then it might be difficult to see deer tracks as the cows will create trails that deer will also use but the cows hooves will often cover up most of the deer hoove marks.
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Yeah on the beagles if he doesn't keep them penned up and they run both his land they are probably on yours as well and they will very likely chase any deer they find, that will likely hurt you on getting a number of deer on your land to hunt. If he has dog pen's or run's to keep the dogs in maybe you could talk him into leaving them there during deer season or until you get your deer. Dogs don't know about property lines. LOL
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Food plots could definitely help bring deer into your area, it may not keep them there all the time but they may come to them every few days as deer like to go around and hit different foods and different places.
One of the other mods here (NYBuckHunter) has tried a fairly new plot mix made by 'Whitetail Institute', its called (Secret Spot) which he said has worked very well for him with minimal ground preparation.
It's best to plant 2-4 very small (bedroom or living room) sized plots where you can use a garden/rotor tiller to clear a few room sized spots in different areas of your land, you want to pick spots cleared of some trees where the plot will get some sunlight and a place that gets some drainage (not a swamp). Just rotortill the ground, maybe till it twice a few days apart if there are a lot of weeds to kill and then hand cast or use a hand crank seed caster and maybe throw down some fertilizer and then take a rake and lightly cover the seed.
If you aren't familiar with the Whitetail Institute just do a google search on it, they give away a small sample of their seed that will be enough to try on one decent sized or two very small plots so you can try it by just paying for shipping.
One of our Admins here put together this thread on food plots that has some websites that will help you even more as at least one is for plots down south.
http://www.deerhuntingchat.com/viewtopic.php?t=5587
Good Luck