Definitely not Rubin.  They don't need someone coming in once every two months, laying on the couch, and telling them to "write more."
Plus, his preferred "engineer," Greg Fidelman (the one who actually ends up doing all of the work), would make the record an ear-bleeding mess.

Brendan O'Brien would make them sound too polished, plus he'd want to play guitar or keyboards on every track, while "helping" them arrange the songs for maximum radio impact.  Maybe you bring him or Andy Wallace in at the end as a "closer", of sorts, to re-mix a couple of the songs the label & band view as singles to prep them for radio.

I would maybe take a look at Nick Raskulinecz.  He's done work for Rush, Foo Fighters, Alice in Chains, Stone Sour, Korn, Evanescence, among others.  Yes, his albums have had the tendency to be dynamically compressed, his mixes can be muddy, and cymbals can sound bad.  I'd truthfully ideally hire him as the Recording Engineer, and not the Producer, because he's ultimately really good at getting the essence of what makes that particular band special, and he tries to get a band to focus on what they naturally sound like playing in a room.  I think it'd be just what they need after the overproduction of the CD-era, BUT, I don't think he'd take the professional step down at this point in his career.  For a project of this size?  Maybe...

So, yeah, I'd look at him for the producer, provided there was something in his contract that explicitly prohibited him from baking too much peak limiting and dynamic compression into the initial mixes.

Please do...with all due respect to the original uploader for both his patience and time, it sounds like shit.

I hear ya, JordanRose....Point being, if Axl is singing, I'm believing...Everything else is gravy.

My brush hates when I have to trip over myself nd remind my tongue that there are now words there...Very odd...