Hi! Just found this thread, sounds like you have a challenge in front of you!
Sounds like the endurance weeks maybe be the way to go for you. Better to have a little less optimal training than to chase your tail the whole time. Maybe you’re a little less fit but at least fresh and mentally felling good!
Also, I just wrote an answer here that fits: Training and 12 hour shifts - #2 by schmidt
check out Matt Dixon’s book Fast-track triathlete. A lot of good ideas on how to balance “a big life” with training (his words).
There was also a thread on medical residents training recently here: Training during medical residency