The problem with carrying a 20 foot container on a 4x4 truck is the GVW.
On a two axle truck you will be limited to a 33,000 GVW.
The truck with that GVW will probably weigh about 18,000 lbs.
Add the container at 5,000 and you are limited to a payload of 11,000 lbs.
If you use a three axle truck the GVW goes up to about 50,000 lbs.
The next issue you will have is height. The bed on my truck is 60" off the ground. This limits container height. The truck height is limited to 13'6"
As far as the trucks go there are a lot of class 7 or 8 trucks that can be set up this way.
Freightliners are available with factory all wheel drive.
Marmon Herrington and Fabco both have conversion kits for common trucks.
There are also several companies such as Manning Equipment and Tulsa Truck Manufacturing that do conversions.
Manning Equipment did the conversion on my truck.
What are you trying to accomplish?
