If I understand what you correctly, you have a single 15VA transformer powering both supplies... this is the problem.
The DAC's LCPS (LCDPS) cannot use a center tapped transformer, because the center tap will become the + rail of first supply, and the - rail of the second supply (two distinct supplies on the board). When you connect them to the DAC, the grounds from each supply meet, and you are basically shorting + and -.
The Ballsie's Dual Supply (now LCBPS) does the opposite. The two center secondaries of your dual secondary transformer are joined to form a virtual center tap, and the center (Ground) rail of the supply.
Therefore, when you attach your transformer to both supplies, the Ballsie's power supply is turning your transformer into a center tapped transformer, and that causes a problem on the DAC supply. In the end, you need separate transformers.
The alternative, is use the single transformer to power the Ballsie supply, then use a single set of its secondaries to power both sides of the DAC supply - this will prevent the center tap shorting situation.