I too use an LABA (formoterol), and use it immediately on rising every day. Airway clearance is done 15 minutes to an hour later later. With the LABA on-board, I have no need for levalbuterol since both medications serve the same purpose. In fact, my pulmonologist actively discourages me from using levalbuterol. (Sometimes I do need it during a bad allergy season, or if I have a respiratory bug that causes my asthma to flare.) I too find my inhaler sometimes isn't "enough" used twice a day - I have permission to use two puffs up to 4 times a day, and my prescription is filled accordingly. I would say I use it 3 times a day about 2-3 times a week.

You might ask your pulmonologist two questions -
Is the levalbuterol necessary every day? Maybe they would be open to a trial of using the Bevespi, waiting 15 minutes, then nebbing saline & doing airway clearance.
Is it possible to use Bevespi 3 times a day if needed?