You should look into Symlin. It works exceptionally well for what you are describing. I have had a long time problem with unexplained hi's. When I was given Symlin to take I found that a large dose, about 20 units, mixed in a syringe with Novalog would bring the sugars from teh hi 300's (even 400's) to normal levels in an hour.
Don't think Symlen is the answer to all that ails you, it can be tricky to use during normal times. But to get those hi's under control when they are acting like yours, there is nothing quite like it.
My endo was not able to solve the hi's I was having at times. They would go on for days, no matter how much insulin I pumped in there they just seemed to go higher.
He told me that I was probably experiencing a sustained excretion of the hormone glycogon. It tells the liver to release glucose. Symlin is a synthesized hormone that tells the liver to knock it off. Thereby stopping that mess we get into.
The other recommended treatment is to limit all carbs so you liver does not build up so much. Ya, another diet...

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Type 1 since September 1978. Pumper since 1998.
I want to die sleeping peacefully, - like my grandma; not screaming with horror, - like those, who were as passangers in her car.