If he stays he must get an assistant manager that will give him a bollocking and make sure he does actually have a plan B and capacity to change the game.
I'd try and approach Newcastle for Howe. Before he proved he can actually manage a big team, it was clear he was appointed to be a transition manager before they went for a big name anyway like Mark Hughes was at Man City.
Southgate is going to be for England what Martinez was for Belgium. In charge of some of the best players the country has produced and a team that should be winning trophies but the coach holds them back and only goes when that generation is already past it.