Given that your reading is just into the range, it does sound as if you have "Dinosaur Doc" variety of GP who thinks the only way to treat the condition is to throw medication at it.
My reading was 51 at diagnosis. I tackled it head-on by buying a finger prick test kit (TEE+2), reducing, but not cutting out entirely, the obvious culprits - pasta, potatoes, bread, etc - and testing religiously. Also, and this is key, I kept/keep a set of scales on a worktop to weigh the carbs, and worked out that 150g of mashed potato is too much for me, but 100g has no effect at all. It's all about elimination, and then adding back in the right quantities the foods you can eat (I can't eat porridge at all). Finger prick testing and scales are what worked for me, you might find a different strategy.
It's a learning curve, but once you've got used to it, you'll naturally avoid an excess of carbs and be able to spot them. Try and avoid ready meals, etc, and always look at labels.
No-one apart from my DH knows about my diagnosis; it's perfectly possible to enjoy meals with others without them realising - simple cuts like having one roast potato instead of two, half a bread roll or none with soup, etc.
I don't enjoy tea or coffee without sugar, and even though I take only about half a teaspoon, it does mount up, so now I use Pure Via erythritol instead. Tesco sell it.