As mentioned probably dawn phenomenon. But, could be a low followed by a high. Way to see would be do as usual but set alarm for 3am and test. Usually, dp would start here onwards. If you are within range at 3am and still high in the morning would show it is dp. Would repeat a few days later to confirm. Not alot u could do on mdi really, as I had this and now pumping, able to have a higher basal rate at this time. If you were to increase your lantus, you may hypo before 3am. However, by testing at 3am may see your too high, which would you may need more lantus,but if too low you may need less.
If in range, ask your dsn about pumping
Type 1, pumping nova rapid