I am type 1 and have the same issue. One thing I would say to start is remember the positivity of your day control being good. You may never get perfect control but day control is great.
The libre helped me a lot. Do not take no for an answer on it. Ask them what the criteria are to get one...
Also lantus is old, I've had much better control since moving to tresiba which lasts longer. It also needs a lower dose, however my dose is much higher than yours, so there is no need to worry about what number it is, just the right one for you.