i would really prefer this type of workout to a push/pull
You could keep what you got provided you make it more CNS friendly.
Well, you could divide both back/bi/legs days into a primary squat day, and a primary deadlift day.
A good example would be something like this:
Deadlifts (primary back exercise)
Leg Press (primary legs)
Squats (primary legs)
Barbell rows (primary back)
I recommend you never do too much *heavy* lower back exercises in the same day such as deadlifts with barbell rows. You certainly could, although your weight selection would be most likely cut in half to accomidate one or the other.
This way you manage fatigue and ensure you're managing cns drain. Now all you'd have to do is add in some pullups (various), curls, ect. and you got yourself a managable program you could continue being progressive with.
I personally find it easier to do the heaviest and hardest exercise near the end of the workout. Mainly because it's mentally easier to give > 90% intensity on your last exercise because you know your reward is for you to get to go home.