I have a raised coop that's 8x12, supported 3' off the ground on some 4x4s. I have ducks, they nest on the ground, so the "under" is their spot. Its a 4x8 sheet a 4x4 sheet and a 4x8 sheet for the floor, in the shape of a "U" so I can walk in, and nothing is more than 4' away (ok, corners are closer to 5' - but still easy to roll in a wheelbarrow, and rakie in the spent bedding)
That said, I sometimes have to gather duck eggs from under the house (daily, in fact), and 3' isn't comfortable if you have to get on hands and knees - as I do. Its a mistake i won't be making in the new coop (10x16) I'm building. 2' off the ground basically ensures you won't be able to get at anything under the house - even reaching in with a rake becomes uncomfortable, due to the shallow angle to reach the center. In my view, its wasted space. Better to take the coop all the way to the dirt, and use the ground as flooring.
Yes, you need to use slightly more expensive lumber at ground contact, but everything else about the build goes easier, it allows a walk in design (which IS nice), you can use deep litter/cold composting (which I favor), and you don't need lumber for a floor, which saves on both plywood and framing up joists.