Sis, I do it without any problems. Of course I have the advantage of being able to redo any that unravel but if you're careful, they won't. For my 4B natural hair, if they do unravel, it's only up to where my hair ends. That stays braided.
After wetting my head, I basically apply shampoo to my scalp using fingers and massage well to clean. Then when I start to rinse under a shower head, I squeeze the length of the braids as suds run through them. If the suds aren't white/clean, I repeat the scalp shampoo again and then the squeeze through the braids as water runs through. I don't pile my hair up on my head but leave it hanging down. (If I were worried about them unraveling, I'd put my hair in about 8 big plaits and put rubber bands at the ends before shampooing.)
After rinsing the shampoo out, I apply conditioner to a few braids at a time in the careful way relaxer is applied to hair. I skip the inch or so closest to my scalp for a few reasons to be mentioned shortly, and I only apply until the tips of my hair, not the extensions. 1) The newest hair is fairly healthy and doesn't need as much TLC as the rest of the hair. 2) Getting conditioner inside the base of the braids can be hard to rinse out and that residue would lead to knotting that leads to breakage when you undo. 3) Conditioner on your scalp can lead to itches...and it's very likely that if it enters that base of the braid, it may not all rinse off coz it can be like a knot and that will mean itches that never go away. (I never apply conditioner to my scalp even when not in braids.) So after applying condish to a few braids, I squeeze them to allow the conditioner to penetrate the braids and then plait them to keep them out of the way while I concentrate on another set of braids. I always leave them hanging down so that conditioner doesn't drip to my scalp and so that it drips to the ends of my where it's most needed.
If DCing (which I do once a week), then I put on a cap still without piling them on my head and then go under a dryer. If just conditioning, I wait a while and rinse with the squeezing motion I used to wash them. Then comes my favorite part of the wash: ACV Rinse. For this, I put about 1/4 cup of ACV in a basin or bucket of about 2 gallons of water. Then add about 20 drops of EOs of rosemary and of lavender. I then dunk my head in the solution and massage my scalp to my heart's content while letting the hair just soak up the goodness of the solution. Next I wrap the braids in a towel turban style while hanging my head down so they are wrapped lengthwise. And voilà.
I wash my braids twice a week. Below is what they looked like after the first wash since I put them in. As you can see, the ends do unravel a bit, but that's an easy fix. The main part of the braid stays intact.