I had a 2wd truck, if you get some good weight over the rear, you can do quite a bit. If you get one with an overhang that has a rear water/blackwater/grey water tank, it will counter balance the weight of your engine (if the weight is past the rear axle).Luckily even then 2wd fords have good ground clearance.
Get some good tires, tire chains (As you said) a good winch, and some sand boards.
The pickups that get stuck are for 2 reasons (as mentioned). 1. no traction to move forward, or 2, the front wheels are pushing the dirt/sand/snow so hard that the rear is loosing traction. That pounds per square inch for "skinny" tires works against 2wd trucks (in the front) when you sink down.