I also used to commute 30miles each way 3pw when I trained for my first Ironman event.
Commute in and out Mon, Wed, Fri. Rest weeks I would skip Friday’s ride.
I ran in the morning and swam in the evenings on Tuesday, ran on Thursday and Saturday.
In your place I would not train during my commute. Keep the heart rate low, easy breathing, way into aerobic territory all the time.
Do your quality on the trainer.
M/W/F Commute
Tu/Th TR indoors
Long commutes have a way of going wrong, so I’d save weekends for rest, recovery and catch up sessions. 