We routinely stack thousands of images when doing astrophotography, to reduce the noise, and increase the resolution, it works well and the process is well documented and easy to implement.
Some examples with autostakkert here of getting extra resolution, this time using 20 frames of security camera footage instead of astro-images:
Also for imaging with cheap gear, such as using a webcam to image Jupiter and stacking a few thousand images to get the detail in and the noise out.
Webcam Footage
Stacked Result
I used autostakkert to recover the full star field and planet from the Star Wars opening, to get a clean plate that someone requested for a project. You can absolutely do this with multiple scans, the big challenge is perfect image registration, to get the images aligned down to the pixel level before you stack them.