I'm in the same boat, fasting was 110 and A1c 5.7. Also skinny, also with family history. Older than you, just turned 50.
I have changed my diet to low carb since the diagnosis in March. I have to go and get another A1c test pretty soon, just to see if it has gone down, along with my regular blood work.
I do think the low carb diet is the best chance to slow the progression, and to control it if it does progress. If you aren't eating carbs, you don't have to worry so much about pumping out insulin and insulin resistance, as the pancreas has less to deal with.
What the diet entails is dropping the following: Anything sweet (obviously) or starchy (potatoes, pasta, rice, bread, cereal). Fruits are somewhat problematic, but berries are lowest in carbs. It's a pretty natural way to eat and close to 'Paleo' dieting in a lot of ways. If you have any questions about it, let me know. I joined a big diabetes forum when diagnosed and this diet is what most of them do, and they have excellent control. Your post meal reading should never exceed 140 after 1 hour, and 120 after 2 hours, to have good control. If it does, you should look at what you ate and avoid the food that spiked you.
A lot of 'diabetes educators' and even doctors go by the ADA recommendations with a lot more carbs and looser blood glucose requirements, but I am telling you, the tighter your control the better in the long run. Most people on the forum I'm on have a dim view of the ADA and diabetes educators and of many doctors. They test themselves very often and adjust based on that.
Many also say that exercise after meals (as in walking) helps drop blood glucose.
I know it's scary, but a lot of people are dealing with this and there is hope as long as you take proactive steps. It's good this was caught so early. A lot of people don't find out until they are full-blown with a fasting glucose well over 200.