I’m pretty sure you already have several dives on those 95s by now, but I’m 5’10" and never found there to be a problem with 95s (or 108s or AL80s or even short HP80s). The key is not to mount them too high on your back. Move the bands all the way up so the tanks ride lower and use the lower holes in your plate (if there are 2 set of holes).
I suggest (if you have not already) you play with them in shallow water or on the platform until you get them adjusted just right and can stay in trim without finning. Then it’s time to practice swimming with them. Staying horizontal is key with big fat doubles on your back, so master that and the rest of your transition will go smoothly.
Happy to help you work out the kinks with your new doubles if you want to come out to Dutch Springs starting in April.