Have you considered a pump?
It requires more effort than injections but the benefit is that you can adjust your basal throughout the day to avoid night time hypos and maintain tighter control during the day.
The Libre is a great tool for calibrating the pump to your needs.
Each diabetes team seems to have a different approach to how they allocate pumps: they have a limited budget and, as it requires more effort than injecting, they are not suitable for every one.
But generally, when requesting one, you need to be able articulate why you need it ("I need better control" doesn't cut it) and be able to convince your team that you are able to cope with the extra effort. In my case, I had to go on a DAFNE-type course. It was worth it to get the pump.
In your case, I would have thought your fear of night time hypos and overall high BG should be a good basis for the why and your carb counting should be a good proof your can cope with the effort.
If the pump is not an option for you, is it possible to address the psychological side of your night-time hypo fear? I can totally understand the fear - night time hypos are horrible.
I think of it like being afraid to stand on the edge of a cliff. The closest to the edge you stand the more you are rewarded with a good view ... until you stand too close. The further back you are, you may feel safer but you miss out on the view. It's getting the best distance for you.
A night time hypo could be falling off the cliff but it's worth getting closer to the edge (a slightly lower BG when going to bed) for the benefit of lower BG and better view for your future health.
<too cheesey? sorry!>