I'm sure they already had an idea of what qualities they are looking for in a manager (or head coach and DoF) so the time consuming aspect is finding out who is availalbe, who is currently employment that is suitable and talking to them.
It wouldn't surprise me if we do go for someone not on the list, perhaps someone Stuart Baxter or Roger Spry (not necessarily them), but someone with a wide range of coaching experience, dealings with top players but most importantly are tactically sound and understand the game.