Reducing the dosage may have the desired effect on overnight blood glucose, but it may also cause high blood glucose at other times of the day. You could also get into the habit of eating something with low glycemic index, like cheese or chocolate , before bed. It should prevent overnight hypos. A third option is switching to Levemir. Because of the shorter insulin action duration, overnight hypos are less likely. Discuss it with your doctor and explain your reasons for wanting it.
I inject all my 15 units of Lantus in the morning, as well as 5 units of Actrapid. The Actrapid,which lasts for about 6 hours, gives me the basal cover I need before lunch. I also eat chocolate before bed.