Oh boy. Clearly the medical service where you are is structured differently to where I am.
OK, diagnosing t2 by blood sugar levels is insufficient, we agree there. But adding in the ketone level and the length of time symptoms have been apparent gives a reasonable indication for most people.
Testing for ketones - ketoDiastix. I was given a pot of 20 and told I could buy more from the chemist over the counter, or get them prescribed if the GP believed I wasn't wasting them.
Testing bg - my local pharmacy lets the pharmacist test your bg if you go in feeling ill and say you are an unmonitored t2 diabetic. Also, at my GP you CAN make an appointment to see a 'diabetes nurse' and have your bg measured. If you can show that you're using the results, they'll give out a glucose tester. Still limited test strips though. Heck, there's a stall once a month outside the supermarket that offers a free bg test if you take their food advice leaflets.
I'm a bit of a special case, my diabetes is complicated, but I have strolled into my diabetes clinic (no appointment with doctor or nurse) and requested a blood test, including thyroid and lipid panel. They dig out a doc, he listened to my reasons, and said yep go ahead with it. Got the results the next day (speed due to my kidney disease). I have found that generally, if you have a clear logical argument, you can get what you need as an individual. Pity it doesn't work on politicians.