It's 3 years later, but for anyone that comes across this thread, I have been dealing with a similar concern connecting my HX Stomp to a stage box with balanced inputs and outputs. It's a Behringer SD16, and it looks like the type of balancing the SD16 does, I can use a cable that converts the XLR to a TS 1/4 inch wherein the low (also known as minus or cold) pin is connected to ground. This seems to work fine, at least for the HX Stomp input that is not a balanced input. I understand the HX Stomp outputs are balanced, but I a am struggling to get a signal through a TRS output back to the stage box as an XLR input (no signal being received). Still debugging that issue.
Anyway, the point of my post is that in my research for solutions to actively balance and unbalance a signal so you can connect it to your balanced and unbalanced endpoints, I did find this device. I have not tried it, but it seems like it could be a solution to the problem stated in this thread, assuming the noise is/was a RFI/EMI problem and a balanced cable signal really is needed. It's called a CleanBox Pro by Art.