JC,
I find I wake up in the exact same state as you, very hot, trembly etc.
If I can make it downstairs, I will do a quick BM test. It has been known for the blood meter's to be a little bit inaccurate. To the degree where the readings can vary by +/- 2mmol.
I'm now of the mindset that if I wake up in the night with a hypo, I will always double test for accuracy.
Mind you, with the saga of blood testing strips supplied by the GP, I can understand why people may want to be frugal with their testing.