The orbits are known and predictable, could they be fed into a sort of dynamic coronagraph that occludes the glares of the satellites while they move through the field of view of a telescope?
For serious astronomy this isn't viable, and for amateurs this really puts a dent in the magic and sanctity the night sky as we've known it throughout the entire history of our species. If only we could add "the night sky" to UNESCO's world heritage lists.
Yes, there are a lots of ways to solve this problem. A lot of the complaining and hand wringing around this feels kind of like "oh man, finally my niche hobby can get a bite of the outrage economy!".