Pretty much ALL the accomplished scuba divers I know swim down head first. Generally they don't worry about getting every last fart out of the BC; just invert, stick a leg or two out of the water, exhale, kick hard and then don't inhale until like 15 feet and keep pumping the legs. If they are doing a back roll entry then they just straighten out after hitting the water and start kicking straight down. They are gone in 10 seconds.
This assumes a diver who is competent and can equalize easily and the visibility is such that you can see where you are going. There are always pockets of air trapped in the wetsuit and if you just power down to a depth of 15 feet, you should be sinking and you can ease up on the kicking and stay vertical with head down. This is the most efficient use of your gas, your time and your effort.
This also assumes that you have your weighting correct. The feet first descent is best for beginners or people with "problems". If you are in no hurry to get to the bottom and air supply and time are not an issue, then the efficiency of your descent is inconsequential.
The idea that you are going to dive deep with a thick wetsuit and NOT add air to the BC is nonsensical. Don't be afraid to add air, you will need a lot at 100 ft.
My exact circumstances, and very well described. Feet down for the first three to five feet, but once fully under, head down, right hand to the bottom BCD dump, and fin to the bottom.
All the while watching my dive buddy (wife) as she profiles down in the classic feet first fashion.
Very sensitive to ear clearing, and left hand is on my nose the full way.
Once I am at around 30 feet or so, revert to feet down, and stabilize.
I'm in a 5mm BARE Velocity, using 20 pounds total weight (two three's in trim pockets on tank strap, two four's and two three's in a pocket weight belt).
Yes, I might appear to be a little over-weighted, but at 5' 10" and around 170 pounds, I'm also a little overweight as a person.
This configuration allows me to add a little bit of air at depth, and be neutral at the Safety Stop. Anything less, following a decade of experimentation, makes me a cork at the SS.
The OP needs to allow themself to experiment to what they are comfortable with.
In my world, a couple of extra pounds can be compensated for throughout the dive, a couple of fewer pounds creates frustration at the SS that is unnecessary.