For any property for hunting you need to consider how you are going to access it. Most folks now days recommend a perimeter access if at all possible to minimize and disturbance in the core portion of the property.
Look at utilities access. it gets expensive fast to have to run electric lines if needed. Also consider a water source if you intend on building a home and consider where that site would be. Sometimes it's not as easy as just drilling a hole in the ground to get water. I have a neighbor down the road that drilled nearly a dozen dry holes looking for water and they had to resort to having water trucked in on a regular basis because they didn't build the house with the plan of a cistern. i on the other hand am less than 1/2 mile away and have one of the best well sin the area......go figure. If it does have a well have it tested to ensure it will provide the water you will need.
Look up previous property taxes and the like to make sure you know what those will be and make certain there is not any sort of lean or the like against the property - if so and you find out later....it becomes your problem.
If your building a home look at the local schools and the like as well. Also make sure you understand if any of the property falls under some sort of government program or protection as it can limit what you can and can't do and to get out of some of those can be very costly as most of those programs transfer with the sale of the property.
Make sure any easements are clearly defined and properly documented. Utility right of ways are something to consider as well as they tend to have rules to what you can and can't do as well.
Soils may come into play if you plan on building a pond or lake - so if you see that in the future you may want to look into that now.
Try to find out what you can about the neighbors. Good neighbors are great, bad neighbors you will regret. This can affect day to day life as well as your hunting efforts. Nothing is more frustrating that trespassing, poaching, disputes and all those things that some folks that don't respect a property line tend to bring. As a side note the old saying "good fences make good neighbors" is pretty true - just saying!
This is going to sound maybe dumb.....but make sure you can get the cell coverage you expect there. I live in an area where things are pretty hit or miss so true high-speed anything is just not going to happen. Really frustrates the wife and kids as lots of homework and the like is now on-line based as well as working from home and the like.
I have never purchased property on contract so I can't help with that - the above is all just things that I deal with or have seen/heard of other issues that have caused a lot of pain for others because they didn't know/check first.
Good luck and I hope things go your way.