Try drinking very warm water throughout day and especially after nebulizing with some pleasant distraction. It always works on bringing up sputum for me even if a little delayed. A very gentle way to do airway clearance.

Also, just doing the active cycle of breathing and autogenic breathing as you go through your day. Google “bronchiectasis toolbox” and you will get great video demos of these simple breathing exercises that you can do most anywhere, any time. They also are very helpful to keep things moving in the lungs. What follows is a brief description of the autogenic breathing. There’s an app called “Autogenic Drainage” that you can download on your phone. Dr. McShane emphasizes the “holding” of your breath in these exercises because it opens up the airways so the secretions can move through more easily.

Here’s what I do: A number of shallow inhalations, holds for 3 seconds, and slightly forceful exhalations through pursed lips, followed by a serious of deeper inhalations, holds. and slightly forceful exhalations through pursed
lips again. This is something you can do on a walk or doing chores around the house.

I hope this helps you.