Peterson is unlikely to leave the West Coast.
imo, Shaw is overrated and won't come to ND anyway.
Patterson probably isn't a good fit at ND.
Herman is going to Texas/LSU/USC, probably in that order.
It would be a major surprise if any of those guys end up at ND in the next couple of years.
I think the next head coach at ND will come from the next generation of guys (Doeren/Durkin/Holgorsen/Harsin/Campbell, etc) who really have no place to go to really improve their situation if they are so inclined. I don't know what these guys' career aspirations are nor do I know if they are good enough just that they are in the younger group of coaches from which ND should look at when the time comes. Durkin may be a bit green (especially if a move is made this year which is unlikely) but is a guy no one is looking at who has excellent credentials in his first head coaching much like Herman and has been at ND.
Who do you think would be a good choice?