Eddie Howe for me. Think he would do a cracking job. Yes, he took Bournemouth down, but he took them all the way to the Prem from lower leagues first. He seems a decent fella, is an Evertonian and 'gets' the club.
Plus he would have a burning desire to do well and not look to jump ship when something more attractive comes along.
Yes, I know the 2 signings from the Reds were shockers but he made plenty of good signings as well. All clubs make nonsensical signings - Iwobi anyone? - but I think he would sort us out and build us for the future