Well, it would kind of depend on the reason for them wanting to use the name USSR. Unless we know that it makes it kind of hard to think of a new one. Though I do think that they could have come up with a more interesting acronym. For example:
If they wanted to strengthen their relationship the the United Staes then they could call themselves the Universal Soviet Association (U.S.A.)
If they were assisted in their revolution by mysterious unexplained forces they could call themselves the Association of Soviet Bolsheviks (A.S.B.)
If they were more interested in Agriculture, they could call themselves the Communist Organization of Red Nations (C.O.R.N.)
If they wanted a constant reminder of where their philosophy came from (and were a bit more racist) they could be the Marxist Association Russian Xenophobes (M.A.R.X.)
If they wanted to start a professional football league they could call themselves the Nation of Freed Labor (N.F.L.)
If they had extreme self-esteem issues (and Trotsky led the revolution rather than Lenin) they could call themselves the Socialist Trotskyite Union of Proletarian Independent Dominions (S.T.U.P.I.D.)
If the revolution suceeded against long odds (and had a bit more of a monarchical attitude) then they could go with Lenin's Union of Communist Kingdoms (L.U.C.K.)
Anyway, that's about all I can think of.
If they wanted to strengthen their relationship the the United Staes then they could call themselves the Universal Soviet Association (U.S.A.)
If they were assisted in their revolution by mysterious unexplained forces they could call themselves the Association of Soviet Bolsheviks (A.S.B.)
If they were more interested in Agriculture, they could call themselves the Communist Organization of Red Nations (C.O.R.N.)
If they wanted a constant reminder of where their philosophy came from (and were a bit more racist) they could be the Marxist Association Russian Xenophobes (M.A.R.X.)
If they wanted to start a professional football league they could call themselves the Nation of Freed Labor (N.F.L.)
If they had extreme self-esteem issues (and Trotsky led the revolution rather than Lenin) they could call themselves the Socialist Trotskyite Union of Proletarian Independent Dominions (S.T.U.P.I.D.)
If the revolution suceeded against long odds (and had a bit more of a monarchical attitude) then they could go with Lenin's Union of Communist Kingdoms (L.U.C.K.)
Anyway, that's about all I can think of.