it seems like you are in a very similar situation to me – I too was recently diagnosed, although in my case antibodies (GAD) are confirmed, and I require very little insulin, in fact only when I eat a meal that has carbs in it I have to inject. From all i have read LADA seems likely, my doctor said it sort of isnt that important what type (LADA or classic type 1) it really is as long as I get the right treatment, which in my case are low doses of insulin, watching what I eat and monitoring my blood sugar carefully.
There are a number of things you can do that MIGHT help prolonging your honeymoon period, which is something you may want to go for because having your own wee bit of insulin production left can be very helpful with glucose control.
Some studies suggest injecting even small amounts of insulin regularly can be helpful, (giving your pancreas a "rest") and there is also evidence that tight blood sugar control (for example through eating a reduced amount of carbs) might help with preservation. In the end it is like roodgirl wrote, it is all about exporing different things and finding out what works best for you and makes you feel best.
Good luck and may your honeymoon last for a long time!