Hi, I think you'll find that LC stabilises blood sugar to 'normal' wherever it starts. I began with reactive hypoglycaemia, so tended to have very low blood sugar.
The symptoms you describe are low blood sugar ones.
Like you, I had a hard time on Induction for a couple of weeks - in fact i needed to cheat to get by.
What I did was add nuts and almond muffins (there's a thread with them in the kitchen section somewhere) just to survive.
I still lost loads of weight and I settled down eventually.
My blood sugar (judged by symptoms, I don't measure it) is miles more steady and I'm happier as a result now. I've been doing this since May, it probably took a month or so before things really settled down, since then its been fine.
If its a choice of doing induction and cheating a bit, or giving up on LC, I'd take the cheat. Do what you need to do to survive, within LC guidelines. (If you cheat 'high carb' you never get off the bandwagon).
All the best, take care, Jay