I low carb, am vegetarian, and just to keep things interesting, I am coeliac as well
When you low carb as a veggie, the rules change somewhat, I do use balsamic vinegar fruit and my carbs tend to come mainly from vegetables and the protein component , usually pulses , legumes and tofu . As a rule, my diet is a very healthy one, I rarely hypo and when I do its explainable. Much of the info on low carb is aimed towards omnivores, so you do have to like to cook, be creative and test more to discover your own threshold.
From the omnivore low carb information comes the idea that you can't eat certain things, but it's not necessarily true when you are vegetarian , and very personal to each person. I really can't say that my diet is limited, as I do make some good low carb meals with a lot of variety, and also include some adapted baked goods in to it.
A good resource is Celia Brooke's " Low Carb & Gluten Free Vegetarian " , though it says Gluten Free in the title, it's good for any vegetarian that is looking to lowering their carb intake because it automatically excludes wheat and other gluten containing grains.
Oh, and as a Type 1, who doesn't eat meat, your carb threshold for achieving a good HbA1c , less post prandial spikes and avoiding hypos whilst controlling your insulin doses is entirely personal. Some may need to go very low carb, others have a better tolerance at a different level. I would describe it as being " Low(er) Carb " , but still within the parameters of " Low Carb ", if that makes sense
You would, at least initially have to remember to test 2 hours post prandial to see what foods result in an unacceptable spike , but this lessens somewhat as you learn what works and what doesn't .
Signy
Edited to say- from what you describe , you probably are eating at a lower carb level already
You probably wouldn't need to alter that much, just a tweak here and there , should you wish to give it a whirl