Ideas, please add yours. This is a perfect opportunity to use the White House press corp pass as a means of fixing the media.
To get a Whitehouse press pass:
Media organization MUST have a comments section on their website open to public criticism and largely unedited/moderated.
All lies presented by the media organization needs to be refuted THREE times in the same timeslot/web-site prominence/periodical prominence on said media organization.
You said it, it is an old building. If you are going to include new, more credible news providers, who are you going to exclude in order to make additional room? The second building is in close proximity to the WH. I would think that any communication issues should be able to be overcome by technology, and a forward thinking Communications Director. Maintaining the status quo is exactly what the legacy MSM wants, and that's what needs to change.