In my case (rediagnosed from T2 at 34 to T1 at 36 with no direct family history of T1 or T2, and the GAD test was the key one. My understanding is that c-peptide measures secretion of insulin. In a non-insulin using diabetic, this is your endogenous insulin, i.e. what you are producing yourself, which would indicate towards either T1 or T2 on the result, i.e. lower than normal is T1, higher is T2. I was told that if you inject insulin, then this would mask whether you still have insulin production in your beta cells (or at what level). Having said that wikipedia seems to suggest you can still use c-pep levels in insulin using diabetes to separate out what level of endogenous insulin is left.
A positive result for (Anti-)GAD antibodies should mean that your diabetes is definitely autoimmune, i.e. type 1, which was the case with me, but apparently a lack of the anti-bodies doesn't necessarily rule T1 out, hence it may be difficult to say one way or the other. My endo says I'm definitely T1 category, either late onset T1 or LADA, but given that the tests to ascertain which is which are expensive and the treatment is the same in either case, he didn't see the point. Late onset can be much slower to come on than juvenile or early onset, so you don't necessarily plunge in a diabetic crisis in the same way.
I too spent some time with very high blood sugars despite all my best efforts and essentially went straight from metformin to insulin after two A&E admissions for possible DKA and weight loss of about a stone in two to three weeks. During the first one, (three consecutive readings of HI on my meter and 4+ ketones with sinusitis and oral thrush - nice) the A&E doc said: you're type 2 so can't get DKA and you just need to get your sugars under control. Very helpful!
During a couple of months, the only reading I ever had in single figures was after a 2 mile run, when I registered 9.8 (not that I should have been exercising with such levels, as I now know). My fasting levels were always in the 20s. I have to thank a GP (not my own) who saw me with the throat and sinus infections and suggested I was probably T1 not T2.
I totally agree how hard it is not fitting in a box, particularly if your diabetes isn't responding to your best efforts. Keep pushing for tests, particularly GAD antibodies. If you are T2, then you may be able to come off insulin and try some other options. For me, the GAD test just confirmed I would be on lifelong insulin, but I felt I had time to come to terms with it. (Apologies for long post!)