I finally broke down and changed my basal rates by 0.05 every time period.
I just am not getting the control with the Apidra that I had with the Novolog.
I've tweaked slowly -- first thing I did was to back down the IOB to 3.0 hours -- 3.5 worked fine with Novalog.
Then I tweaked the carb ratios, dropping them. I can see what is happening with carb ratios the easiest.
Then I dropped correction factor, but I'm actually seeing an increase in blood sugar during periods when I should have very little insulin in my system.
So now I've increased the basal rates.