I don't know any BWers IRL, so forgive me if this is something everybody already does. . .
I frequently nurse DS to sleep but have trouble transitioning him to the MT without waking him up. Previously, I would lay him down while I put on the MT. Now, I pre-tie the MT and sometimes wear it all day like a belt. I tie the bottom straps as normal and then fold the body. I use the upper straps to go around my waist like a belt and hold the folded body in place. If he falls asleep on my lap all I have to do is untie the upper straps and unfold the body and we're ready to go. I don't have to put him down and risk waking him up!