Based on your "needs" list, I'll assume you have $1 million plus to spend. If not, you should realign your expectations to your budget.
As someone said above, you need to understand the real cost of owning a 2nd property/home ... PITA. Principle, interest, taxes, & insurance will be your fixed annual costs. Then add deer stands, ATV, food plot stuff, etc. I have seen many people buy and then 2-3 years later sell because they over leveraged themselves. If you debt free, that is a good start but understand your future life costs.
Most of us who have successful hunting properties started small 20, 40, 60 acres that were not anywhere near prime. Marsh/swamp, un-desirable woodlots, etc. but that is what we could afford. It took years of paying off debt, investing tons of sweat equity with poor tools, and learning that neighbors (no matter how much you help them) are sometimes your biggest threat to developing a property. I would rather have a small property surrounded by larger parcels, then a large property surrounded by smaller parcels.
You are entering the recreational land at a very high point in land values, and high mortgage rates, in the midwest you can expect to pay ~$2500-3,000/acre for just vacant land that has marginal timber and very little plantable ground, good ground without ag $3-$4k, stuff with Ag land probably going to start around $5-6k/acre. Some times for smaller parcel >100 acres, the price tag can be much higher. Other issues ... what are property taxes, how will rising mortgages rates affect you? If you are expecting charity, you have a long learning curve as sellers know the value given the internet and open network listing services.
Sounds like you have a lot of homework to do. You need to zero down your geographic search to a state and then research the counties to figured out if you can afford what to want. Then zero in on a county or 2 and check out all relator sites and learn the cost per acre per features. Start out small, quickly pay off, and use existing property to leverage your next purchase on a larger/better property. Are you in a position to make a cash offer, do you know if you can finance vacant land with a bank, what amount will they pre-approve you? That is what usually gets you the property you want, any decent property will be locked into an accepted offer in days, not weeks. Remember, your not just competing with hunters, you are now competing with all the woke kiddies & eco nuts who think they are going to live off grid.
Good luck!