Note: the Nitto Terra Grappler G2 (and Ridge Grappler) are 305/45R22 118S XL, that can be important because most AT tires are LT, stiffer, and run at higher pressures. For 20" wheels they have a 305/50-20 (a little shorter) and 305/55-20 (a little taller, in metric and LT construction)
The Terra Grappler G2 is an AT tire. Very popular now is the new for 2018 Ridge Grappler. The Ridge Grappler is considered a hybrid between mud and all-terrain, but Nitto apparently made a big effort making is quiet for the street. The other popular tires are LT.
If you were planning on towing heavy or lots of off-road you would probably want an LT tire. LT comes in many more sizes.
The advantages of the Ridge over the Terra are a more aggressive sidewall (many/most are very interested in the look) which also protects the side of the tire and the hybrid design is better at rejecting mud. The weakness of most AT tires is they clog on a muddy surface. You can google and find lots of videos.
People with the 305 is around 12.5" wide. Owners report it is close but mostly not touching the upper control arm. Remember the Ram on 22" tires already has a 285, so it isn't that be a jump. As to diameter, it is 32.8 vs 33 for the Rebel's OE tire. On air suspension, the entry/exit position is the same height on the Rebel and Limited. So the height shouldn't be an issue. Some owners have put on 34" tires on an OE suspension, although I think those have largely been with steel springs and many have been leveled in the front. An LT295/60R20 is a 34" tire.
For street use the Nitto (a Toyo subsidiary) has a sweet spot with their non-LT tires.
This video shows the different Nitto tires: