Asparagus is the one veggies that does not raise me much. Broccoli, cauliflower, green beans always raise me. One shocking thing is how much lettuce raises me. A LOT! Far more than you would think. Asparagus is very fibery, the stringy fiber and lower carb than other veg.
Good news on your numbers but it is your diet that is giving you those numbers. I wouldn't veere too far from your diet. As the saying goes, once a diabetic always a diabetic. Some people are fortunate enough to be able to control it through diet and exercise and some of us aren't so fortunate.