I think what the OP is asking is if a stock suspension is going to be able to get him to hunting spots. The answer is YES. If you are asking if a 4x2 is going to get you there, the answer is probably/maybe not. As an avid hunter I can tell you that rarely will you encounter ideal conditions on a hunting trail. It's going to be wet, snowy, muddy etc. I'm pretty sure that October and November in Illinois is not going to yield very easy terrain when reaching deer. There is no reason not to get a 4x4. You can keep the truck in 2wd when you are driving around town, and throw it into 4wd when you need. My ram gets awesome gas mileage in 2wd, so its not like there is a real downside to having 4x4 capabilities. But there is a serious downside to not having a 4x4 when you begin sliding back down a slick muddy hill. Trust me, you don't want to be that guy with the inadequate rig when you are out in the backcountry. No one is going to be happy to winch you out of mud because you didn't come prepared with the right truck.
As for suspension upgrades its not really necessary with a full sized truck. Your ground clearance will be plenty. I use Bilstein ride height adjustable shocks to level up the front of my truck, but this is more for esthetic reasons. Some use a level to 'stuff' 35s on the truck, but wouldn't recommend that for any intensive four wheeling. Do not use spacer kits, they are mostly junk and compress over time. You also run the risk of blowing out CV joints and other hardware.
A quality suspension lift is highly variable in price, depending on how big and what brand. Zone and BDS are the industry standard for quality. I am getting a 6" Zone lift, and it runs $1400 before install. So don't think you can turn just any truck into a backcountry beast on the cheap.
If I were you I would test drive as many trucks as possible, and stick with a quality stock suspension. There is always room for upgrades in the future. Typical "offroad" packages usually give you something like 1" increase in ride height, and some other worthless features.
Also, keep in mind that Tundras are notorious for horrific gas mileage. With similar sized engines I get at least 6 mpg more than my buddy's Toyota.
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