Is there a specific reason why you are splitting the W/O's like that?
IMO, training the upper body ie: chest, shoulders & arms can occur in 1 W/O and thus be hit 2x per week and expect good recovery and gains.
The back can certainly be trained on say deadlift day (with hips and legs) and one can split the legs with back and hips altering 2x per week also. ie: squats, rows, shrugs, bis, 1 day, deads, chins or pulldwns, core, grip. (or something along those lines.)
This way, you are training the largest body structures, w/ compound exercises and loading the spine 2x+ per week.
Especially as a novice or more or less even an intermed lifter, will benefit much more than the small muscle groups such as shoulders, chest, arms.
Lastly, trying to keep down calories losing BF while gaining your biggest muscle size, is not the easiest route. Another reason (if you want to make your biggest overall systemic gains) to perhaps really concentrate on adding as much weight to your compounds ie: squat, deads, rows, BP's and standing OHP's, eating enough good food without a great deal of caloric restrictions, will show the greatest gains in muscular development and overall power throughout the entire body.
I can understand people may feel supplements and diet are important, but the best absolute gains, will come from the effort put into the compound exercises and adding weight to the bar on a reg basis first and foremost.