Use the same strategy as up hill, use crawl control mode down hill.
Also in when using crawl control mode, no need to lock the rear differential let the computer work for you on all 4 wheels. Just lock the center diff, Crawl Control only has to manage power side to side on each axle, rather than trying to juggle distribution across all four wheels, it works more predictably and effectively.
Locking rear or front differential force both wheels on that axle to spin at the same speed, so any time they need to travel different distances, turning or one wheel riding up/down over uneven ground, the tire has to scrub instead. That scrub kills momentum right when traction is already marginal.
A-TRAC avoids this by leaving the diff (rear or fornt) open and just braking the slipping wheel, letting the other wheel spin at its own natural speed while still getting power. No forced scrub, but power still goes where it's needed which is why it often beats a locker rather than being a downgrade from one.
A locker still wins when a wheel has zero grip (fully unloaded, on ice) there's no slip for A-TRAC to brake against, so forcing both wheels together is the only way to keep driving.
That's why the rule of thumb holds: leave it open by default, lock only for a specific situation.