So I came up with what the consortium of non-human races that have positive relations with the Epsilon Alliance call themselves: The A’duuin. It fit better than something like “the League” or anything like that (the League just makes me think of the League of non-aligned worlds from Babylon 5). Colloquially, humans of the Alliance simply term their non-human trade partners and sometime allies as “the Races.” But these people wouldn’t call themselves that. Hence, A’duuin.