Originally, the name Unitarian indicated an aversion to idolatry in Christianity, whether it was the idolatry of tradition in the Orthodox and Catholic Churches or the idolatry of belief in Protestantism. Unitarians, as the word itself indicates, were certainly monotheists, but God was—frankly—beside the point. The point was that we must follow Jesus, not worship him. [1] This makes the name Unitarian seem a misnomer.
This reasoning leads one took for a term that would better indicate the primacy of the message over the messenger (with all due respect to Jesus), maybe a term that would simply emphasize the specific message of Christ, or perhaps an antonym for idolatry.
I like the word charity, in the original Latin and Christian sense. Charity, before it became synonymous with altruistic giving and tax deductions, once meant love, which was the original reason for such generosity. Likewise, philanthropy, which originally meant love of mankind, has come to mean giving money! Part of me wants to avoid the words charity and philanthropy because they have lost their original meaning, but the importance of love demands the words ought to be reclaimed, so that charitable (or philanthropic) efforts may once again be granted the authority of love.
1. Unitarian Universalist Origins: Our Historic Faith, by Mark W. Harris