Sadly... they're not going to hire Al Golden. They're also not going to hire Lane Kiffin unless the stars align. Coaches don't just get poached from playoff teams and the new playoff model/schedule with the portal is going to make it nearly impossible. Ole Miss would likely have to miss the playoff entirely for it to work.
If Ole Miss gets a 1st round bye or wins in the 1st round - that pushes it to at least January. Make it to the semi's as Ole Miss should and it's nearly mid-January. There's an argument that if its the right hire you wait as long as you have to wait - but by then, you completely missed ESD with an interim HC running the show for that, the portal is closed as it runs Dec 9 - Jan 7. By then, they've likely lost their entire team (not that there's many good players), not signed anyone, you have to hope the post-spring window still exists, have to hope there's something left for February signing day from HS. Probably looking at filling 50+ spots with HS and portal leftovers and trying to cram it all into a week or 2 before the last day to enroll.
What HC is walking into that and what school is going to do that to their program regardless of who you're hiring? By doing that, you've probably set your program back 2 years already and maybe longer because you're going to win 3-4-5 games in year 1 and then have to recruit at a high level after that. They're not going to. The logical thing is to look into the next tier of coaches that can be hired instantly, get there for ESD, be there through the full portal window up to the last day to enroll, and get a decent year 1 product.
They could always do the Manny/Mario situation and hold Napier like he's coming back and explore the option. Or you fire Napier during the year or at the end of the season, like normal, and do a search... then, can you even hire Georgia's DC.. probably doesn't work out. So as a result, you hire a HC from another P5 program that didn't make the playoff or a G5 program.
This new format and the calendar seemingly makes it impossible to hire or poach elite P5 coaches unless they have a down year and miss the playoff.
If they fire Billy, they're going to be looking in the Jedd Fisch, Eli Drinkwitz, Chris Kleiman, Mark Stoops tier. If they don't have traction there it would be in the tier of Jamey Chadwell, Jason Candle, or Jon Sumrall (they're not hiring another G5 head coach from a Louisiana program).
Matt Campbell, James Franklin, Bill O'Brien, and Greg Schiano are probably options like they are for all open jobs. If they were smart they should look at Curt Cignetti from Indiana. But they're not.