I added a feature to Bibliogram where people can run a shell script on their computer to fetch enough data to unblock a profile. You can visit a blocked profile on bibliogram.art to see how it works. Other instances can use this too, but they might not have been updated yet.
The script should work on any shell on Linux and Mac, hopefully. I'm not sure what to do about Windows.
It's not pretty in the slightest, but it does the job.
You can read more about the issue and the possible solutions in this comment I left on GitHub.