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@EllieM has asked are you on any diabetes meds? There are some type 1's that have a problem with dropping too low before they fully develop type 1, but it's not as common? But being on diabetic medications could cause it. If you are not on meds and just dropping, there are a few type 1's that say that has happened to them at the beginning. That becomes trickier and you will just have to add snacks to help keep you stable. Unfortunately there is also what we call the Honeymoon phase where your pancreas tries to work and is erratic in what it does manage to make.
DP is a rise in hormones that causes a blood sugar dump from the liver. Getting ready to wake for the day. A "normal" makes insulin to deal with it, a type 2 doesn't utilize their insulin well, but you are lacking insulin so it doesn't come down like it should. That hormone rise also makes you a little insulin resistant to what you do make for a couple hours after you wake up, which is why it's staying high (besides the lack of insulin).
The quickest snacks to treat a hypo are very simple sugars like juice, or a quick candy like ***** bears/jelly belly's or glucotabs. (Nothing with fat or protein, even fiber as it will slow absorption)
A snack that would help keep your sugars rising slowly for a little while to help prevent a low and boost you a little but not quite as fast would be something like half a banana, a small apple,1 pb choc cup, 1 small cookie/biscuit. Like a Biscotti cookie is only 8 carbs each but it won't last as long as it's more of a simple sugar, tangerines can only be about 6 carbs each but won't last as long either unless you are not making enough insulin for any of the above, then you won't come down enough.
A healthy snack to keep you stable would be more along the lines of a little bit of protein, maybe with whole wheat crackers if you need some carbs (just a couple crackers), nuts or pb with something like celery or crackers for more carbs, cheese and crackers. Part of nut bars can work well or a little trail mix if you need some carbs (but watch carb count). Some of the meat alternative jerkies are nice too and most aren't high carbs. One of my favorite snacks are cocoa coated almonds or mushroom jerky. Baby carrots or cherry tomatoes would be low carb, but might not last long enough unless you combine them with something like a nut butter.
I love the small individual servings of plain, chocolate or vanilla soymilk, but they can carry a higher carb count and I use insulin with them, so they might be too much for you. Some of the companies like Kays (not sure if they have them in the UK) make a protein snack that are pretzels etc. Under 15 carbs with around 15 grams of protein. Those could still be too high if you're not making enough insulin.
Keep track of the carb content of what you eat and how much it boosts your BG levels so you can tell what you can and need to eat.
You will have to experiment a little, you have to figure out the amount of carbs you need without eating too many carbs and sending your sugars soaring. As type 1's we need insulin, that helps us actually use the food we eat right. While you are erratic, it's hard to know what you need and what you need could change per day, but your need for insulin will only be more definite as time goes on. I would start using some now with small doses when you go too high so you can make corrections and get used to using it.