@iwilltouchyourcat Hi and Welcome! I am not low carb or keto, but I am a vegan!
@LooperCat is low carb, she's not a vegan or vegetarian, but she has food allergies and eats a lot of vegetarian food. She's not been on as much lately though. I did post a link to vegan low carb sites.
So many of us are misdiagnosed at first because diet and meds work for a little while. It can be a very slow change that can take years to completely lose the ability to make insulin.
There is what we call DP, (dawn phenomenon) caused by a hormone release before you get up and your body releases glucose for fuel in preparation for getting up. There is also FOTF (foot on the floor) that happens once you are awake. I get both, or trend one off and on. They both cause some insulin resistance for a few hours after. There is still some theory that excess carbs can still cause more of a release of glucose, because your body has plenty to dump. But Type 1's don't follow the same rules as type 2's. And when you eat or what you eat doesn't necessarily mean anything for them to occur.
My reaction is over the top to food in the morning. I have extra high settings for my basal rate and higher ratios if I bolus in the am in case I do eat something (on an insulin pump). But generally for me it'.s easier to just not eat in the am. But my numbers go up even without eating. If I try to eat my BG shoots up high and it is stubborn to come down. Although Afrezza for me has helped if I want a small amount of carbs in the am. But it depends where you live if you have access to that.
I would suggest you push to start some fast acting insulin. An extra dose in the am would help bring down your numbers, plus it would get you used to starting using some insulin. Some people automatically take a dose once they wake up. That's kind of like my pump having extra higher settings in the am. Eventually you will have to be using insulin all the time, so you might as well get started with small doses now.
https://www.diabetes.co.uk/forum/threads/vegetarian-vegan-recipe-sites-normal-and-low-carb.174751/