Re the crutch vs cane issue - I tore out my knee and was in a brace for several months, surgery in the middle of that. I had to walk across gravel to reach my classroom. On a slight hill. So for a while I used both crutches, then one crutch, then one crutch only for going up and down the gravel.
Point of the story - do what works for you. Maybe use the cane until you feel tired, then switch to the crutch. Or alternate days, as you said. Or use whatever seems appropriate for the situation, length of time, and conditions of where you'll be walking.
You know all of that, of course. Just adding my experience in a similar long recover and my yes, go with what works for you. 45 days ago