I'm not sure I understand what you're asking for.
There are extremely short-throw projectors that mount directly to the top frame of a whiteboard or dry-erase marker board, and project onto that same surface. They're mostly designed for schools, but anything can be used for anything. Those same systems often include "touch" in the form of an infrared stylus that a camera next to the projector can see. Do the same transform in reverse, that the projector does forward, and the system knows where the IR dot is on the screen. Thus, a large "touchscreen" that you can literally stand in front of.
Would that work for what you're doing? No green screen, but literally in front of the actual image and interacting with it.
