Hmmm, I think it could also be just the fact that you were resting under a blanket (insulation) before you woke-up and took your temp. The insulation allows your body to overheat and fight the infection. I'm guessing that's the reason for the 4 degree fluctuation in temp over a few hours.
Yeah, I'm with you on the low blood pressure. I am naturally bradycardic, with a resting heart rate of ~45, while my bp is usually normal. But with my size and naturally low resting heart rate when I stand up too quickly I can get pretty dizzy at times. I once took a spill into the bathtub taking out the curtain and rod, waking up half a minute later in a complete stupor... ha ha.