Those seem like enormous amounts of insulin for a 7 year old! You are saying she is receiving over 200 units of insulin a day. Something does not seem right. Generally speaking (and only generally), T1's are not particularly insulin resistant and don't need such gargantuan quantities of insulin. Did you see a pediatric endocrinologist? Really, I am just shocked at the sheer quantity of insulin you are reporting, and at the use of a mix in addition to rapid and long-acting.
Perhaps you should call the prescribing doctor and confirm the insulin program. Did his/her office write a wrong prescription? Did the pharmacy accidentally replicate your prescriptions instead of processing your child's. By the way - with the huge amount of insulin your child is using, I am not surprised about that hypo; you should check for those frequently.
What foods are you eating? Perhaps a diet change can help reduce the amount of insulin needed.
Sorry if I seem a little agressive here, but my brain just can't process a 7 year old needing the same amount of insulin as you, an adult. I'm on "Tilt"!
Jen