Boring is okay, particularly when you're just starting low carb. Broccoli, peas, green beans, carrots, sweet potatoes, and tomatoes all spiked my glucose levels when I started on the low carb diet.
Mushrooms weren't a problem.
By the way, before I crossed over to type 2 diabetes, the endocrinologist thought I may have type 1.5 diabetes. I suppose it's still a possibility.
What I'd suggest trying for a few days is reducing your protein intake a bit, sticking with the low carb, non-starchy vegetables for a few days, and testing pre-meal and 2-hour post meal.
I had a heck of a time getting my glucose levels down when I first started. What is the time interval between dinner and breakfast? Also what kind and how much cheese are you eating?