The non-diabetic responds to intense exercise by releasing the same hormones, and the liver releases glycogen to fuel the activity. If the non-D is being chased by a bear, his body gives him what he needs - instant fuel and a way for the fuel to be pushed into the cells so it can be used (insulin).
Your body is doing everything exactly the same! Except no insulin.
One workaround would be to put the intense stuff at the end of the exercise time, which means your spike is only at the end. But since it’s a class, that won’t work for you.
Since it is a class and you can’t control when the intense parts are, you need to take insulin for it. But if you don’t spike, you need to have carbs available to cover the insulin.
Take a look at Gatorade Prime (get it on Amazon). That’s a very fast carb treatment that is easy to take. Very fast. So you’d take the insulin, and if you don’t spike, the Prime will cover it.
It takes guts to do it the first few times. You can be at 90 but you take insulin and start exercising very hard. Endos won’t tell you to do that. It doesn’t sound like it makes sense. But it does. It just takes a bit of practice to find the amount and timing.
Really, other than insulin, there isn’t a good practical solution. I mean, you could deplete your liver glycogen stores with a glucagon shot earlier that day, take insulin to bring down the high BG, and then don’t eat anything before your class. But that is not practical and would suck. Insulin is the best bet for this. It just takes practice.
Do you want to go over practical applications of it? Are you on a pump? How do you dose? There are things that make it more practical, like if you can have a pump or pen you can dose right before you start the intense stuff (or a few minutes before). There are easy ways to carry pumps or pens for exercise, easy ways to have carbs available, all of those things.