Your doctor is likely right- it's probably not important, even though you feel like crap in the 70s. Every diabetic is different- some will not even bat an eyelash in the 50s, while others swear they're at death's door in the low 80s.
What I would suggest- 1- I would make sure your liver is healthy- a simple LFT blood test can show this
2- Have you lost weight? This can lower your sugar, so you may need some snacks.
3- What time of day? If fasting, you may need a bedtime snack
4- Maybe Hormonal? Again, if morning sugar is low, I would wake up and check sugar in the middle of the night- this can check for hormonal release/sugar swings during sleep. Growth and Stress hormones in general cause sugar swings.
5- Make sure you don't have a fever, even a low grade
6- How much metformin?- if your A1C is < 6.5, maybe you can wean the dose.
good luck, and remember- the reason your doc isn't worried is you are likely doing too well- many diabetics have the problem of 274 rather than 74