You might be able to control the AM drop by doing some simple timing adjustments. If you were to test, then feed, and wait just a bit, maybe 30 minutes, before shooting. You'd still be dosing on the non-food number you got, but you'd be giving the food time to start boosting the number before the insulin kicks in. Giving the food a head start, so to speak. That many may the drop a bit later, and not as drastic. Just a thought...
Carl