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@Radders I was thinking that would be a good thing to ask. Having a separate mealtime and background insulin regime does mean more injections, but it allows you to tailor your insulin more accurately where you need it most.
Additionally there may be some more concentrated insulins (eg Toujeo or Deglugec 200u) which would allow the same doses to be delivered in a smaller volume.
In the meantime it might be helpful to post a typical day's meal plan to see if any of our low/moderate carbers have any suggestions. One of the things about 'low carb' is that there are no absolute definitions - for some people it means less that 120g carbs a day, while for others anything more than 30g gets them in bother. It sounds like you are doing all you can, but it might be helpful to have a few more pairs of eyes on it?