32 pounds of lift is not a lot of lift for anything other than AL 80s.
Steel 72s vary a bit as everybody made them and not all are the same, but in general a pair of steel 72s with valves is about 14-15 pounds negative at the start of the dive. Add another couple pounds per reg, along with your 2 pound back plate and you're looking at 20+ pounds of negative buoyancy before you add in lights, reels, the rest of the harness, etc. Adding a stage and a deco bottle would not be an option.
I'm not sure a 5mm will help. I dive both a 5mm and a 3mm with an without a hooded vest and I just don't notice that much difference, although my 5mm has been on enough 180'-210' dives that it is probably closer to a 3mm now anyway.
As for 95s I dive a Nomad and it's nominally a 60 pound wing, although Lamar estimates it drops to closer to 50 pounds when fully inflated on the diver, given the constraints on the wing to keep it in position, and I think it closer to 45 pounds by the time you snug up the bungees to limit the gas in the front portion of the wing, plus I dive a dual bladder Nomad and that probably costs me another 5 pounds of lift due to the extra bulk in the same external shell. If I dive cave filled LP 95s and a stage with a 3mm or 5mm wet suit, I have to take care as it will be a couple pounds negative at the start of the dive with the wing trimmed the way I prefer - I end up having to loosen the bungees under the wing to let it inflate a bit more.
The point being that if you're trying to float a pair of cave filled 95s with a 32 pound wing and a dry suit, you're probably going to end up with more gas in the drysuit than you really want, as it's going to be a large bubble to manage.