Our rationale for the balanced outputs on BeePre was really that some might want to connect to some other amp besides Paramount, that has a balanced input. In going to balanced cables you add a lot of stuff in the circuit that you don't need with single ended cables - caps or transformers or even fully differential buffers. I don't grok that extra stuff is getting one closer to the goal of good sound.
But enough of my philosophizing. Get a 10K:10K or 15K:15K transformer. Cinemag, Jensen, Lundahl, or vintage Peerless/Altec.