ctuozzolo, I think you have to start in a position that is right for you. If you've been doing this for a while, then you probably already start in the right position anyway. Your stance doesn't necessarily have to just get wider and I have pretty good hip flexibility, too and find that there's a sweet spot for width and foot position. That's all the shuffling and adjusting is for. For me, I like just hanging out in the bottom position and feeling for any restrictions in my breathing while keeping my torso upright. I tense up and grunt as I come out of the hole, but as long as I don't feel any pinching at the hip, I stay down there a while without prying. I just don't get anything from the prying at this point.
I know Ido Portal has this routine where he pushes out on each knee individually while doing a deep unweighted squat, but I personally don't like the feel for it and am not into trying to becoming flexible for any non-functional purposes.