Hello CatalogueK9,
Since you mention that you did not activate the “Treat as generic third-party display” option, it is highly unlikely that the damage occurred from BetterDisplay. In addition, since the screen momentarily booted a few times (e.g. in Safe Mode), it does not look like permanent damage to the matrix or monitor electronics.
What you can do is to check another miniDP-DP cable or the port on the docking station in order to rule out a possible problem with the physical connection.
You can also restore a previous version of DisplayLink driver (1.11), if you installed the latest one.
If your problem still is not solved, please gather some more data and send it to our team by following
these steps.