"Adly" is a relatively rare term without a wide range of commonly-used synonyms. However, one synonymous word that can be used in place of "adly" is "eagerly". It carries a similar connotation of enthusiasm or keenness, reflecting a strong desire or willingness to do something. Other synonyms that can be used to convey a sense of intense eagerness or excitement include "ardently", "enthusiastically" or "zealously". These words capture the essence of being highly motivated and ready to pursue a particular activity or goal with great vigor. While "adly" might not have a vast array of synonyms, these alternatives can successfully express the desired meaning.