Hi Steph,
I have to say, I admire you very much for being so involved with your daughter's diabetes as (for me at least) it was a fairly difficult time... I was diagnosed at 12 years old and struggled with hypos as well. I ultimately realized that treating a hypo with fast-acting juice/soda/glucogel etc. as well as a serving of protein was helpful preventing further lows... If it was a 'bad' hypo I would treat it with fast carbs and then have a piece of toast and peanut butter...
Reducing the NPH, from my perspective, is a good first move - I know it takes time to figure out the right balance (and, even then, it can vary depending on hormones etc.), but I predict this will help.
I would also encourage you to reiterate your concerns to your team. I (like your fortunate daughter) was also supported by my incredible mother (I couldn't have grown to the 27 year-old healthy woman that I am today without her), but did find hypos extremely draining (as well as dangerous), and it can also impact self confidence, as well as independence at this age. Tell them how it impacts your daughter's everyday life - ie: is she worried that she will fail a test (I've done this many times), worries throughout sports games and has to sit on the bench and eat a lot of the time, etc. It also sounds like her morning hypers might be associated with night-time lows, so I would consider getting up in the night (setting an alarm) and checking. Keep in mind the 'dawn effect' also - when growth hormones, stress hormones etc. kick in in the morning, they tend to send blood sugar levels up...
Anyway, hang in there. Congratulations on being such a terrific mom!! I know it is a struggle (and very frightening for parents), but with your support I am sure your daughter will grow up healthy and happy!