As has been already mentioned many times, it would help to have that c-peptide result. No one can tell you if you are or are not producing enough insulin without it.
That will tell you what the pancreas is producing. Personally, I believe it should be tested post meal, around 45 mins after if possible. This will show how much the pancreas is producing because it will be active and doing what it does in response to food as opposed to a fasting result where the pancreas isn't being asked to do anything much because there is no reason for it to be in full swing.
It would probably put your mind at ease knowing what is going on in regards to insulin production.
I don't produce enough insulin (yes, had a c-peptide test) but I'm not type 1 either, mine is because my pancrease is impaired due to a genetic condition called cystic fibrosis (CF) and this isn't uncommon at all for people with CF. As a result I can beat my BG levels down without insulin, but it requires A LOT of effort.
Good luck getting it done, it can be hard to get a test you want done if your DN or HCP has already made up their mind/s on something, even without data to support it.