I wasn't suggesting adjusting your insulin - just eating more !!!!!! (I count carbs as well and have done for the last 58 years, since being diagnosed aged 10.) If you want your BS test results higher, you need more carbs or less insulin. Eat extra. Don't take extra insulin for the extra carb, just the amount normal for you at this meal.
Say you are below 6mml mid-afternoon Monday. On Tuesday, you could try eating 5g or 7g or 10g carbs extra at lunch. Make a point of testing before the time of the drop the day before. Note the result. Did you eat enough to stay above 6 mml ? If you did, you've learned something. You need more carbs for that amount of insulin, or less insulin.
Look, I don't have medical qualifications. I am just making a suggestion for the sort of thing I would try in your position, based on my experience.
There was very probably something wrong with your carb to insulin ratio at times for you to end up hypo so often that you lost warning symptoms in the first place. I would not be using the same, possibly questionable ratio to drop your insulin. I would eat some extra carbs if I were you and note the results. If your levels do not drop as low as before, it was the right move. You may need to eat an extra 7g or 10g every day at this time until you have proved what is required to keep above 6 mml. It's not forever. You can consult your DSN about adjusting your insulin for the longer term once you have an idea what is going on. A few days should make a difference if you are very careful and test before significant exercise.
I really hope this is helpful. I can't imagine why anybody would think it was a good idea to get yourself out of this situation slowly. Did you get any suggestions from the medics as to how you should set about staying above 6 mml ? Thry don't seem to have given you useful advice.