Given that only managers who are former players can win trophies at Everton. I want a former player. I think Baines, because he is already on the coaching staff would be a good pick, we may finally get some attacking fullbacks at the club again.
If Arteta doesn't win anything at the end of the season I could see Arsenal parting ways with him, but I think he is a really good manager, he has proven this season that he is adaptable, changing his style of play to grind out results.
Lee Carsley is probably the only other one that you could say has experience and is doing well, though its under 21 international, which is different from day to day management of the first team.
I think emotionally you look at people like Rooney and Ferguson, but I think other than Derby, Rooney has struggled to make that transition into management, maybe if he had Rosenior as his number two (like at Derby) he could be successful. I think Ferguson was a bit unlucky at Inverness because they went bust, but that was 2 years ago now and he doesnt seem desperate to get back in. I would love to see him at least back on our coaching staff, but perhaps he doesnt want to, now that he has been first team manager.