Hey Sam,
Sorry you're having a hard time with the pump! It can definitely take a while to get things sorted, and I'm sure everyone's had moments when they want to throw the pump at the wall! I think you just have to try and focus on the positive - hypos signs coming back is fantastic! And being in range for most of the day is also excellent.
With regards to your night time basals, I only have a few suggestions (and this is very much *what I would do*)
1. I don't think there's anything wrong with taking a night off if you're feeling exhausted. My DSN was keen on taking things one day at a time, and I don't think you do yourself any favours when you're that tired, so I didn't do 3 am tests every single night. YMMV, but I'd suggest not doing a test tonight. You're not dropping, so you know you're not in danger of hypoing during the night.
2. If you're higher at 2 am, and you were in range earlier, I'd suggest upping your basal at midnight, and seeing what kind of effect that has.
3. My feeling is that upping all the basal between 2 - 7 may be a bit much, as you don't know when you're rising. I do things much the same way as Tracy and Bev have suggested - in chunks of 3 or 4 hours . If you get your 2am test in range, then test at 5 the next time instead, then get that in range and so on. The beauty of a pump is that you can fine tune your insulin, and you might find that you only need a little bit more for a couple of hours during the night, rather than an overall increase. For example, I have 3 different basal rates between midnight and 7 am.
Keep up with it - you're doing great! I know it's frustrating, but for me pacing the basal tests is the only way I can do it and keep myself sane!
😛