Revit was designed from the ground up to work in 3D, unlike AutoCAD which basically had any semblance of 3D forced into it 25 years ago.
For someone of Curtis's mindset and experience, I think Revit will actually be much easier to learn than AutoCAD. Each object - door, wall, window, floor - is "built" in the computer model as it will be built in real life. It is absolutely more analagous to the final product than any drafted representation could ever be. And so many tasks are more automated in Revit than AutoCAD.
So if, say, you want a 2x4 backdrop wall that has drywall one side and is 20 feet long and 12 feet high, you pick the wall tool, pick that wall type, and tell it how tall to make the wall. Then you "draw" the wall in the length and configuration you want, including any end returns. You pick the door tool, tell it what kind of door, and plop it in the wall where you want it. All these elements can have materials built in, so they know what they are and will appear accordingly. You can, however, do everything generically as well.
Since all this stuff exists in 3-space, now you can immediately generate plan, cross section, and elevation views with minimal additional work. But the real beauty of it is that you can make any 3D views you want - perspectives, aerials, renderings, etc. So you can see what the set will look like from anywhere in the house, in real time! You can even do walkthroughs, with a variety of 3rd-party rendering programs. Materials can appear realistically, so if you have a backdrop painted like a brick wall, you can digitally paint it with brick - one mouse click - and see what it looks like.
There are tons of free downloads for objects, furniture, architectural elements, you name it, so you don't have to know how to model anything until you get good at it. There are lots of tutorials, etc on YT and various blogs. Plus a number of us on here who would be happy to help.
Unless there is a specific requirement to use AutoCAD, I strongly urge you to go this route. You'll be better serving yourself, the theatre program, and most importantly, the students.