Anyone have experience with bronchiectasis and Haemophilus influenzae?

I was diagnosed with bronchiectasis in 2016. My cough had gotten a lot worse over the last couple years, I was fatigued and what sputum I could catch was green. Also had a low grade fever, below 100. Bronchoscopy was done, H-influenza found and treated with Doxycyline in November. Fatigue is gone, cough improved, and sputum is clear. But at the 8 week point MAC culture came back positive. Pulmonologist wants me to start the big 3, in spite of the fact that my symptoms are better and my CT scan shows "no significant change" since last one in 2017. After watching videos (including one with Dr. Kevin Winthrop who my doc said he'd send me to if the big 3 doesn't work) I am declining. Doc is not happy about my choice, but will see me every 3 months. I am focusing on airway clearance and exercise, getting so much information about that here since he did not really discuss that with me. I am starting to cough a bit more and just read that H-influenza can also remain in the lungs. I am wondering if it is likely to flare up again. Thanks.