and one more idea.
Another thing that may help is MCT oil.
MCT oil consumption leads to ketosis more easily and with a higher amount of protein and carbs, or so I've read. I have been drinking it in my butter tea, about 1 tablespoon each cup. Have to be careful about not consuming too much as it can leave me slightly nauseous, but it's a matter of building up.
Things that lead to quicker keto adaptation may be:
2. MCT oil
3. resistance exercises (a LOT of people say this jump started them and got them over the initial hump -- I have been doing hot Yoga and perhaps that provides some of the same benefits -- can't lift right now due to a tendon injury)