If anything, you'd want to go even lower in carbs if you're having low blood sugar. What you really need to do is feed your body in such a way that it stops secreting so much insulin. If you get the carbs very low, you should be able to avoid the insulin spikes which are driving your blood sugar down.
Another thing to consider, though, is whether you are actually having low blood sugars. People who have gotten used to having their blood sugar higher get used to that and then have low-like symptoms when it comes back to normal range. When people are newly diagnosed w type II and change their diet or start meds they often have this problem. So, you may want to catch a few of these lows on your meter before you change things around bc of them.
As an aside, there are a lot of people who don't lose at that level of carb restriction. A lot of people need to go down to 30 or even 20 g before they get the benefit of ketosis. I try to stay under 12 g myself. I did 20-35 for about four years a while back and lost nothing and thought low carb would not help me lose. Then finally I went lower and WOW!!! I was so excited to see the scale finally move.