Most lung conditions can be looked at as hot or cold, damp or dry or having a wind component (spasm). The easiest way to determine which energetic pattern exists is by looking at the symptom picture. A lot of mucus is damp, if the mucus is yellow, green or bloody it is hot/damp. If the mucus is clear or white, it is cold/damp. If there is little mucus, it is sticky (or no mucus), it is dry. Yellow sticky mucus is hot/dry and white or clear sticky mucus is cold/dry. Spasm, a ticklish cough is wind. Asthma is always caused by inflammation, your case could be wind/heat although it could be wind/heat with dryness. In TCM the inability to get a full inhalation is associated with another pattern, Kidneys not grasping the Lung Qi, caused by deficient kidney yang. One of the main herbs for this is Schisandra (which is also strongly anti-inflammatory). Another possibility is deficient lung qi caused by dryness which can exacerbate asthma (yin tonics such as Ophiopogon, Prince Seng, Glehnia, Chinese Asparagus are used for this).