Serious question: why does this need a technical solution? Researchers comprise the editorial staff for these journals, conduct the peer reviews, and submit the papers, all for free (or nearly so). They (we) universally want the papers to be accessible by other researchers (because that means the paper might get cited) and are at worst indifferent to the papers being accessible to the public at large, and by that I mean some people care a lot about that issue, some people don't care very much, but I don't know anyone who is opposed to public access.

So there's an ongoing transition now by researchers/editorial boards/etc to move to a system with lower access costs (some of which involves taking back journal ownership, some doesn't). There's some logistical overhead and fixed costs, but those are falling. It seems like in 20 years (conservatively) all new research will be available to whomever wants it no matter what Elsevier or other companies do in the meantime (the papers may not be literally free, but affordable).

So, like I said initially, I can see how some software for logistics or communication would be helpful, but the main issues don't strike me as technical.