This is my final work on the Enterprise and its Hangar bay and how I thing it could be, I still think this design can carry between 6 or 8 shuttles depending on the arrangement but this seems to work well
You could have 2 stationed in the main hangar, with the duel elevator/rotating (Turntable) deck kept clear ? or 3 in the main hangar with one on station ready for launch on the elevator/rotating (Turntable) etc
With 4 stored in the deck below the hangar , there is room to move them around and I imagine that they can easily be moved, antigrav units or something like that.
The lower fantail cut of the secondary hull prohibits the shuttle elevator going down more then one level,, so I have added two additional side elevators to the forward shuttle storage area (orange surface colour, one occupied by a shuttle), so perhaps if the captain wishes to have additional shuttles at his or her disposal, they can.. so lets say that the maximum class F shuttles this design can carry is 8.. possibly adding one or two workbees of the period.
I added 2 smaller cargo elevators to the forward wall, beyond that would be the Engineering sections, for those times Cargo Transporters cannot be used.. as we know these things happen
Also I rendered 2 new images.. too get a idea of how the scale looks I included some 6ft crew personnel.