Hiya.
I'm a retired(still get offered jobs) Registered Respiratory Therapist/ECMO Specialist with 35 years in critical care.
Have had Asthma my whole life and now Bronchiectasis at age 69. I've been intubated and even coded and died with my Asthma over my life time.

Are you a smoker? Don't smoke.

Is your Asthma allergic, environmental(mine is) or eosinophilic?

I took steroids for decades. I literally have taken so many steroids(to survive) that I get seriously sick now. When I was taking care of Covid patients starting in March 2020 we talked about steroids(which we gave a lot of) and DHEA. I didn't know anything about DHEA. So researched it. In 2023 I started taking DHEA/ 50 Mgs. a day. For me this was a miracle(for me!). DHEA stimulates the Adrenals to produce natural hormones and steroid hormones. Once again this was a miracle for me. It cut back my bronchiectasis and reduced my asthma. My Pulmonologist is aware of what I'm doing and agrees.

I drink a LOT of hot tea which has Theophylline and is a natural thing to help us Asthmatics. And great for sputum removal. Cough drops help. Ginger and mint tea and Ginger candies help.

Sputum removal. I use a Acapella(PEP) or Aerobika for years now. It works great. Actually the BEST for Bronchiectasis in my opinion. And fits in a purse nicely.

Once in awhile when my sputum is really thick? I take an aerosol Tx. with Mucomyst. I'm assuming you have a home compressor to take aerosol txs.? If not there really not that expensive.

I just keep up with it all. I control it as best I can. Have Prednisone, MDIs, Levaquin always available. Taught my husband how to do cpt. I also get seriously bad bacterial bronchitis. Since my Asthma is environmental none of the Flovent type of drugs work. A prophylactic drug might help you. They don't for me. I used Spiriva for awhile. It did nothing for my Bronchiectasis.
We are all different so you just have to find out what works for you.