I would love to someday learn how to dive safely without a BC - for a dive in the proper surface conditions, to an appropriate depth, and any other factors not mentioned in this thread. My preferred area for diving is almost always calm and many of my favorite dives have been in the 50-ish foot range, so I think it would suit my diving preferences well.
Someday...
If you want to learn to dive with no BC I highly recommend doing a lot of skin diving first.
Why? you ask. Because freediving (skin diving) preps you for the form you need to use. Modern scuba diving relies on a BC to suspend you like a puppet on strings. You'll see divers hanging around like sky divers suspended by their wings and in some cases drysuits. You have none of that with no BC diving.
When scuba diving started, basically what happened was you took a skin diver and strapped a tank on them with 1" straps a double hose breathing loop and that's it. They might have dropped a few lbs. off their belts to adjust for the added hardware.
So in essence they were still skindiving with all the same gear as before but the only difference is they could now breathe underwater.
Weighting is the critical factor in no BC diving.
Most modern scuba divers and modern scuba training overweights divers from the very start in my opinion. If you're wearing any neoprene you need to shed enough weight that you will actually have to tip forward and kick down like a freediver to get deep enough that squeeze will kick in and relieve some of the lightness.
I weight myself different ways for no BC diving.
I'm using a 7mm suit too.
So, for deeper stuff down to 50-60' I weight myself so that I start getting getting light at the end if the dive at 20'. If I need to I'll grab a rock to stay down shallower than that. No BC diving is not something you do if you're getting into deco or doing some sort of deep dive, use a BC wing for that.
The other thing you may want to use for no BC diving is a snorkel. The dynamic changes, you have no wing to inflate to rest on at the surface, so for surface swims, face down with a snorkel is the best way to go.
As the suit mm gets thinner the more leeway you will have with depth. That's also true with suit density. So with a 3 mil you will have a lot more depth range than with a 7 mil. With no suit the range becomes way more.
I've had a few Rubatex suits in the past, and yes they crush down but not like the spongy stuff they have nowdays. The first 33' all suits will crush because the pressure doubles, but after that not as bad, and Rubatex seemed to have a limit on crushing better than any other material.
All of this other technical info becomes a bigger deal with no BC diving because you have no air bag to hide behind.
I always said, if you want to give someone a crash course about proper weighting and watermanship dynamics just take their BC away.
I'm currently diving with no BC doing urchin collection. I just use a back pack plate that I made and a steel 120 with a single second stage and an SPG. It's shallow work, only down to 20', but we have to go in a little heavy to stay put. The commercial guys are using hookah from a boat, and they are using 10 mil or thicker suits and they obviously have no BC's.
Once you get into it and understand it, it gets easier.