Tony I noticed no one else answering. I would guess your XLR-> RCA adapters have ground cut off at the RCA ends. (open them up to check if they are not sealed) that is the method they use to create unbalanced from balanced.
so you will want a set of XLR's to use your balanced inputs on the player.
There are probably commercial cables which exist which are 3 pin XLR to 3 wire TRS 1/4 inch, but not RCA.