I would second @ASIO ‘s recommendation. By using only 1 pin, you are throwing away half the performance of the DAC. Finding a good transformer based solution to convert the signal is essential. It may be worth looking for a used set or asking your dealer if they can get a discounted set. It would be well worth it at least to borrow a set for testing purposes and see how much it helps. I know second hand sets come up from time to time.
I have a fully balanced, tubed, PreAmp. To use single ended output from my preamp, I have to flip a switch, which grounds out the cold pin, to prevent hum. I was running balanced out to my monoblocks, and it seemed fine. But, I noticed, on a picture of the inside of my amp, that it is not running fully balanced, also grounding the cold pin.
It got me thinking. Many of the amps I want to try, and/or build are single ended only. So, I dug out my Jensen XLR->RCA converter, and hooked up my current amps via RCA, instead of XLR, and I swear it sounds better. This converter stays in the system for good now, unless I get a truely balanced amp. (The DIY Aleph J was the only truely balanced amp I have used)
I love that transformer (LL7902), but the configuration of our XLR to RCA balun sounds much better for conversion between balanced and single ended with an MSB DAC as the source. It uses a transmission line balun instead of a simple transformer circuit. The LL7902 is tricky to perfectly implement because it only really sings with proper impedances on each port, which depends on how you choose to wire both the primary and secondary taps. Our balun solution is optimal for our DACs and is insensitive to impedance mismatches on the output port as long as it is used with our DACs.