A topic near and dear--we have been living with our sprawling ranch with crawl space, no rat slab, no vapor barrier and no insulation--and it is getting old,
When we first moved in, I started taking out a few buckets a day as part of my morning routine, but that got old pretty fast.
I've watched many youtube videos, talked to a few people, and the bottom line is that there is no easy way. In Brooklyn where they were dropping basement floors in brownstones, it was the army of guys with buckets--that worked pretty well...
Personally, I'm leaning towards the roller conveyor and box set up for one end (I have seen people set those up with a small electric winch--and I have seen the roller sections (used for receiving in grocery stores etc) on Craigslist from time to time.
The other section--about which I have to make a decision soon--I have been thinking about opening a section of floor in a room currently being finished, and using some version of a small elevator/windlass with a platform, electric winch from Harbor Freight, and totes, and a buncha guys off the corner--to carry them outside to dump. (Opening would be converted to access hatch when done, since there is no outside access, and a second access hatch would be nice.)
Plan is to level about 2/3 of the space, pour some small footings and put in some CMU retainers to hold back the loose stuff where I can't go lower (I mean who pours their foundations out of level so then can get their 3' clear for frost?)--and then vapor barrier, pour a rat slab and then insulate
One problem is that we have very rocky soil, so this is not "dirt"--but more like boulders, large rocks, medium rocks, small rocks, gravel and a bit of dirt thrown in--so it will never be very efficient.
I did contact the guys that run the big vaccum trucks that they use for doing footings--they drop their hose and **** up everything up to a pretty large rock, and although I dream about this solution, it is pretty darn expensive. And this structure is not one I would even think about jacking up for all kinds of reasons...
If you have light dirt, I thought this was pretty ingenious--poor man's dirt vac using a cyclone vac:
https://www.instructables.com/id/Dig-Out-Your-Crawl-Space-Basement-for-Under-100/