Speaking less as an LC & more as the mother of a 5 yr. old (still bf) w/
moderate asthma, , here are some thoughts on dealing w/ your med dilemma.
 The judicious use of albuterol at the beginning of an attack may prevent
your needing heavier meds (like oral steroids) later.  In my experience, the
behavioral effects of the former are nothing compared w/ the overwhelming
systemic effect of the latter.

We have had luck w/ the following:
1)  Allergy testing, so we have some idea of what to avoid (not 100%
reliable, but might be helpful in diagnosing severe mold allergy).
2)  Use of a HEPA air filter (our insurance paid 80%).  Very expensive, but
it works if you keep that room isolated.
3)  Use of an air conditioner to cool & filter air in one room as a safe
haven.  Often 1 hour of play in his room avoids need for meds if I catch my
son early.
4) Allergy proof mattress & pillow covers if dust is a problem.
5)  Antimonium tart. homeopathic remedy during attack.
6)  Teaching my son to listen to his bodies & recognize "warning" & "stop"
signs so that we can do one of the above or get him out of the situation that
is causing his attack before he needs meds.

By following this course, I feel confident that, while there are times
albuterol will be necessary, I can minimize his exposure to the drug through
less invasive methods.

Good luck,
Ro K. Andersen, IBCLC & MOM
Winchester, Massachusetts