Good morning, and welcome to Mayo Connect. As you can see. we are a very busy group with a lot of experiences in living with MAC.

You might like to look at some of the resources we have assembled over time to get a good overview. May I suggest:
https://connect.mayoclinic.org/group/mac-bronchiectasis/
https://connect.mayoclinic.org/discussion/resources-for-the-abcs-on-bronchiectasis-and-mac-ntm/
As far as using natural remedies, there are many that may help your body to fight infection, but there is nothing that will cure MAC. Just remember SUPPLEMENTS are NOT regulated, and you need to be careful about what you buy and where it is sourced, whether it is independently tested for purity and strength. Also, with compromised lungs, and your celiac disease, you need to be cautious about things that could make you worse.

One technique, however, that is very effective in driving down the amount of bacteria in the airways to give your body a chance to fight is to nebulize 7% saline then do airway clearance. Here is some information about it:
https://connect.mayoclinic.org/discussion/7-saline-in-nebulizer-for-mac/
Are you being treated by a pulmonologist or ID doc familiar with MAC?