Blessed, I have the same issue with breakfast - not quite so many people to get sorted, mind you, but I find it hard to get DC sorted and out the door to school and nursery and myself into the office and eat breakfast as well.
If I have time, then I do have an omelette with spinach, but as you don't eat eggs, this is not an option. Other things I have tried
Coconut milk and flaxseed mix (thick creamy coconut milk which is almost like yogurt)
Cheese wrapped in cold meat
Flax seed pancakes (made in advance)
My current flaxseed and prune muffins (took one to work and had with coffee when I got there) but am monitoring this for weight reasons given the prunes. The prunes are a deviation from BC for digestive reasons.
I can do mornings on BPC and they do keep me going, but my impression is that if I eat breakfast late, which I usually do (10 - 11am) with all the non-omelette breakfasts, and then lunch later (2 ish), and a light supper, this not only fits better with my day, but is better than being hungry and eating more at the end of the day. If you really can't do breakfasts, then yes, I would try with more at lunch time and see what happens. I find if I eat too much in the evening (which I have done today), I feel full and bloated. It is a constant learning game as to what works.
That said, plain soya yogurt and plain soya lattes stalled me, and when I took that out, I lost six pounds, so it can be really things you don't necessary think.