The levalbuterol inhaler was helpful for airway inflammation, but the neb caused my heart rate to spike - but not as much as albuterol.
Another, newer treatment (was originally for COPD but both my pulmo and primary now use it for asthma and inflamed or reactive airways) is Symbicort (formotorol plus budosenide) It is long-acting as opposed to albuterol/levalbuterol being short acting. I believe it is one of the meds that has contributed to getting my resting heart rate down from the 90's compared to several times daily levalbuterol. Generic versions are now available, which has allowed it to be on more formularies.

See this discussion for an explanation of the various types of inhaler:
https://connect.mayoclinic.org/discussion/is-anyone-else-confused-about-all-those-inhalers/
Sue