Your new routine idea is exactly how mine was for the past year.
I just recently switched it up to look like this
Workout A: Chest/triceps
Workout B: Legs
Workout C: Back/biceps
Workout D: Shoulders
Workout E: Chest/back/biceps/triceps
Two days of rest
This is an 8 day workout plan. I've been seeing pretty good results with it, especially the back/biceps. I've been really squeezing out my contractions on my back workouts and getting an extra pump in my biceps and then killing them with bar curls at the end or isolation exercises on the all out upper body day. I think this is starting to finally add some more thickness to my arms.
Good luck to you if you do switch up, it is always a big decision!
They always say though to stick with what works for you.