I agree that noise should not be a concern, but choosing a cable because it is louder at a given volume setting makes no sense to me. You can always just turn the preamp up a bit. Choose the cable that sounds better.
Although I don't think balanced designs offer any inherent advantage in a home in enviroment, if the equipment you have was designed from the beginning to operate in balanced mode, which I believe yours was, then it will generally perform best with balanced cables.
I've tried a lot of different Transparent cables, and even though I like them I've found that a lower level will sometimes outperform a higher level in a given situation. Unfortunately for you this is one of those times where you will have to try it to be sure. Fortunately they can easily be had for prices you can resell without much if any loss.
What I don't like about Transparent besides the high price is the stupidly confusing labeling system they use where you can end up buying less than you thought or an old model unless you really study up on it. A Reference XL is a different cable than a Reference with XL technology? Whoever came up with that is an idiot.