everyone is different. I would keep a log and update it as much as possible - Glucose Buddy is great for that
then, bring it in to your Endocrinologist and ask him/her what he/she thinks your BG should be right before bed to reduce the hypo episodes in the mornings.
I like to be around 140mg/dL because I get hypoglycemic unawareness in my sleep and have had seizures before.
I agree with dano - educate yourself as much as possible - don't be afraid to experiment a little with maybe a bit less insulin or a small snack before bed, etc. When you experiment, it's REALLY important to keep logs and change only one thing at a time to be able to see accurate trends.
You might want to consider an insulin pump since that will give you tighter control hour by hour.
my .02 - good luck!