I'm going to chance my luck here and apply some simple logic to this, if I may. As a non-medicated, non-diabetic levels person clearly I have absolutely zero experience of taking insulin, but in my early days I do consider I had some insulin resistance, so obviously when diagnosed I wanted to focus on my getting my numbers down, then ideally improving insulin resistance.
I'm very much with
@Mrsass here, in terms of taking out the rising agents so to speak. If carbs push your numbers up, take down the rising agent. Clearly, you would need to monitor your insulin use diligently (and I couldn't begin to suggest how you would do that), but surely if you are not eating 50-60gr of cab at a sitting your insulin needs would reduce, thus either allowing your bloods to moderate a bit (and hopefully you would feel better in that situation) or allowing you to take less insulin and give your body a bit of a rest.
If you were to commit to a two week period, say, where you log everything you eat, drink, all exercise, all medication, mood and well-being feelings, you could get some clues.
I reiterate, I have never used insulin, and thankfully, I have never, knowingly, had scores as high as yours appear regularly to be, but I do know that as my numbers moderated my mood rose no end, and as my insulin resistance improved I could be a bit more relaxed in my diet/lifestyle choices. Now that I am where I am, I have been asked by normal people, diabetics and HCPs why I don't just revert to a "normal diet". Well, I don't because I feel so well as I am, and I don't want to redevelop insulin resistance.
On my journey I have become very slight, and actually wouldn't mind gaining a couple handful of kilos, but I don't want to add the carbs to be diet to do that, and without them, for me, it's a challenge to gain weight these days. Although your BMI is not obese, or even overweight, it would be interesting to experiment with losing 6-7lbs and see if that makes any difference to things.
It almost sounds like your diabetes is a truly portfolio condition - and in this instance sort of 3-sh, with a bit of 2 bundled in. Don't they call a blend of T1 and T2 "Double Diabetes"? It could be you are a bit TOFI (thin outside, but fat inside), with some pesky visceral fat preventing your system coping with the carbs/insulin juggling match.
So, that's my brain dump.
Your home may be repossessed if you do not keep up payments to your mortgage. The value of shares can fall as well as rise, and any other risk warnings you can think of. None of my foregoing are instructions (how could they be?), but hopefully perhaps a bit thought provoking.
Good luck with it all.