The phrase "more off hand" can be replaced with a number of synonyms depending on the context. For instance, it could be replaced with "casual" or "informal" which convey a relaxed and carefree attitude. Alternatively, the phrase can be substituted with "improvised" or "spontaneous" which suggest a lack of preparation or planning. Other possible synonyms for "more off hand" include "unrehearsed," "unplanned," "unscripted," and "unstructured." Each of these words implies a sense of spontaneity and a lack of formality, and can be used to describe situations where a more relaxed or improvised approach is desired.