Are you using Lux? You need to download the patch as well, since it overrides the script on the door and blocks progress.
Don't do that. Installing the patch without Lux won't do anything either if it's not enabled, but it'll crash your game since you're missing the file requirements.
The only thing I can suggest is to open up xEdit, look for the cell door record and look at what's conflicting with it. This is what the Lux patch does, since it overrides BM's changes and stops the script I put on it that handles the quest from progressing.
That's all the help I can offer. Not interested in Skyrim at all and anything mod-related on my PC is long gone.