I'm with you as far as the inverted full backs, nice suggestion given their attributes.
However, the reason that this particular formation works is because the width is provided higher up the pitch with very wide wingers. Unfortunately for us, we simply don't have that option!
---------------Pickford----------------
--Keane----Schneiderlin---Williams--
--------Davies-------Gueye----------
--------Klaassen-----Barkley---------
Mirallas--------Rooney--------Sandro
This would probably be closest to how it would work when in possession given the personnel we have, with Schneiderlin dropping back between the CB's to receive and bring the ball out.
But I don't like the idea of Mirallas playing as an out-and-out winger and Sandro, by all accounts, likes to cut in from the left; again meaning no width.
I'd also struggle with seeing Davies and Gueye falling back into full back positions.
I think we might end up seeing a 4-4-2 diamond formation:
----------------Pickford----------------
Holgate---Keane----Williams---Baines
--------------Schneiderlin--------------
---------Gueye----------Davies--------
----------------Klaassen---------------
------------Rooney----Sandro---------
Again though, this formation requires very attacking full backs. I'm very surprised that we haven't been in the market for either a RB or LB; Baines just can't get up and down the flank the way he used to, and we might be without Coleman for the majority of the season.
Someone's been reading Inverting The Pyramid.