In all honesty I'm not sure it's football men we need either. I think a big part of Bills problem is that he's a "football man". In that he is an old fashioned fella who'd have probably done ok at running Everton pre PL where much of the expectations was around raising cash via strictly football activities. He's not the most innovative guy but his stability and consistency would have partially covered for this.
Everton are looking to aggressively grow market share, an a rapidly expanding industry in what is now one of the top 3 sports Franchises in the world. For the most part people who were around football 20 years ago will struggle to keep up with this. You need to find individuals who have a history of growing businesses rapidly.
If I were Farhad I would approach David Gill. Offer him 5 million basic and a 5 million bonus for raising bone broadcast revenues 20-25% year on year. After 4 years we get to where Tottenham are now.
I would get a proper DOF in who can run the football side of the business. Rangnick would have been good, as would Zorc from Dortmund. People say they won't go, but 2-3 million pounds a year would indicate otherwise. Also a bonus scheme for profit on players sold on could be considered.
I imagine Jim Whites salary is large so may be difficult, but I'd consider getting him in, maybe on a consultative basis to work on communications team.
As regards the marketing team, look at companies who do it well. McDonald's, Marks and Spencer's, John Lewis etc. They will be getti paid a relative pittance and again they may come on board.
As for Chairman, you could either look at other sports Franchises, such as F1. Or would could look at Evertonians like Paul Gilroy (from BP). Could we get someone from RedBull franchises who seem to be running a number of football clubs very well?
Add in some big non exec guy, such as Gilroy, Terry Leahy maybe even Mark Carney (who as Evertonians would consider it) and you begin to get the base of an organisation that could begin to compete.
You don't really need football people. Some expertise is helpless in DOF, you need driven and competent people working to a clear plan.