Thank you for your insights!
I got in to see the diabetes educator (she's a nurse practitioner in my doctor's office). She told me the same things you both did, although she didn't mention the possibility of my having Type 1. She told me the the autoimmune/inflammatory process may have notched things up, and that the weight I've gained from being on prednisone could have contributed to it. She recommended I use Metformin but wanted to run it past my doctor first.
My doctor's other nurse called a bit later to say that because I have only one kidney and the autoimmune situation, she wanted me to add one milligram of
Amaryl (now I'll take a total of 2) rather than use Metformin. I'll be checking in with them in two weeks.
By the way, when I took my sugar reading before lunch (having eaten nothing during the morning), it was 181.

I guess I have to quit responding like that for now.
I agree about the whole grains. The educator is the one who got me on an eating plan that was working beautifully (see the second paragraph of my original post). I told her I'm sticking to that plan and she agreed. Some years ago I used to follow a low carb way of eating, limiting my intake to 60 carbs. My plan now is a limit of 150. I usually stick between 120 and 140, so I'm doing what I'm supposed to in spite of a temptation to cut the carbs way, way down.
Again, thank you for your help! This is a wonderful community, and I feel lucky to have found it.
Ann