You should try JPS Labs Superconductor 3 ,They have everything you are looking for. I have a nice mint pair XLR for sale on Agon in your budget.
Seeking recommendations for DAC to amplifier balanced XLR cable
The amplifier is Musical Fidelity M6si and the new DAC is RME ADI-2 DAC FS, both great devices. At first I connected them with AQ Colorado 1m RCA. I happen to believe, however, that balanced cabling, which is possible between these two devices, has theoretical advantages over single-ended. I ordered Sommer Epilogue XLR cable from Germany, plugged it in yesterday and compared... Unfortunately AQ Colorado beats the newcomer. I have 2 choices: stay with AQ Colorado RCA (since it already plays great) or look for a better XLR cable. Any advice here is welcome!