Copystands that are large or have integrated lighting are quite expensive. I use a $45 smaller copy stand with a pair of $7 lights clamped to the shelf above my desk. If you have a real camera with a tripod mount, it's a very reasonable solution.
I had the same thought. Disable the flash. Use a copystand. Or, just use a scanner (the last three personal printers I've owned double as scanner/copier).
There are dozens of apps already on the play store that will do geometry correction for images taken at an angle. No stand required. My partner uses one for working in archives.