Why don't you figure out when it starts going high and then raise the basal for the period two hours before. In other words if it starts going high at 2AM raise the basal at midnight. Raise it a small amount and see how that does for a couple days and decide if you need to raise it a bit more. That's the advantage of a pump, that you can tweak the basals so that you don't go high during the night. I would not want to spend significant time between 149 and 250!
I agree w/ Zoe. I usually am near .825U/ hour but have a "boost" in the early morning, like .95 at 2:00 AM and then 1.1 around 3:30 or 4:00 AM. I fiddle around w/ this stuff constantly but the need for insulin is always there.
drsoosie, another member, mentioned having Almond Milk in the evening seems to help her and, on those occcasions I've had a glass, like last night, it seems to have worked. A very small sample size from me but I like almond milk anyway.