It wouldnt be a pathway I'd be looking at.
Doubtful we look at a change before the end of December at the earliest I think.
If we are going down the relatively youthful and a bit inexperienced route then Carsley is probably top of the list.
Potter has such a chequered history. Excellent in Sweden and decent at Swansea and Brighton but seemed to buckle under the weight of expectation and player ego at Chelsea. I liked his football at Brighton but would be hell of a risk ( as would Carsley).
Allegri - not for me. His glory days in Italy are an awfully long time ago and I'm far from sure that either he or his brand of football would translate well at Everton.
McKenna has the whiff of this seasons flavour . Personally I can't stand him and I don't think that he has the personality to win over the Everton fans.
Sarri / Mancini - proven managers but would only be coming here for the money rather than the opportunity to develop and make an impression/ statement.
Dyche has to go ( obviously) and although I have reservations I prefer anyone on your list and above to him.
That said the decision on his replacement is the single most important decision that TFG will make at Everton. They just have to get it right, glad it's not me making the decision.