Bro.... that would work, providing that you work each group hard . A lot of guys cannot train each body part more often than once every seven day, even on gear.
Dorian yates trained with the same way as you...that is...2 on 1 off, 1 on 1 off, 1 on 1 off and repeat...except he used a slightly different combo.
I recommend the following for you bro. I think if you follow my advice you will see better gains as it allows for more rest time. There really is no need to do a four way split. If you are training with enough intensity you don't need a lot of work sets so each muscle group should not take too long to work.
Workout Plan #1
Three way split (on steroids) Each bodypart is trained once every sixth day. It is a big myth that calves , abbs and forarms need to be worked more often than other body parts IMO...many others, including Dorian Yates, would agree. My calves never grew at all until I trained them no more than once every six days.
Muscles are muscles IMO.
Quads often respond to the longer intensity that is produced with 10-15 reps per set. I do calves at 10-12 reps, hams at 8-10
Train every other day, alternating the following ...
Workout #1. Chest, abbs (for a tricep rest), then triceps
Workout#2. Legs(including calves) and lower back
Workout #3. Upper Back, shoulders, Biceps and forearms
You could put calves with workout #1 if the leg day is too hard.
Workout plan #2.
#2. Three way split ( not on steroids) Each body part is trained once every SEVEN days.
Same as above except take two days off after workout #3.
Recuperation time is VERY important bro. I dropped from a four day split just like yours to ta three way spilt, taking at least one day off between workouts and I was a new man!! NEW Growth.... A good buddy( former pro) had to beat me up over the head a few times to get the above through my thick scull) he he he
I never train each muscle group more than once evey sixth day while on gear and once every seventh while off. Hope this helps