I wouldn't be so sure that Lily is staying in the 200s and 100s. You need to test her sugar before each shot AND at least one other time per cycle ideally. In addition to that, try and carve out a few days where you can be home to test once every 2 - 3 hours through out the day until her PM shot. With sporadic testing like your spreadsheet shows its hard to tell how the insulin is affecting her...she may be higher or lower than you think.
We noticed a decrease in Kazi's drinking/urination once she got closer to normal non-diabetic numbers. Once she was peaking at around 200 or less her drinking went down and as a result her urine output went down then as well.