I do have a dumb question: If you work from home and don't really have a set time to work why does it matter when you get up?
Personally I do better when I simply listen to my body. If I'm still tired I stay in bed and sleep. If I'm hungry I eat. Just being able to do what my body wants when it wants alleviates about 75% of my depression and about 60% of my stomach woes. Unfortunately working for a living means having a schedule so there's no hope for me except while on vacation.
Hope you find something that works for you