How would you power the supplies? You really don't want to be burying 120VAC lines close to the surface. Here are two options.
1. Run the entire display on 12VDC. As said before, most landscape lights don't realy care if the input voltage is AC or DC, just that it's 12V. If some of your display items are more than just lights then you may have issues but if not, then this should work. All you need to do is determine the total wattage of your display and make sure that the power supply is capable of delivering it but this is no different than what you would need to do with any landscape transformer and the display that it is powering.
2. Just run 2 cables in your trenches, one connected to your landscape transformer and the other connected to a 12VDC power supply. This way you size both of them for the job that you need them to do and not have to worry about converting AC to DC or voltage regulation.
I would also mount the SSC inside the display item. Since you sare looking at a firmware solution for controlling the nodes, the only connection that would be required for the item you are creating woulld be 12VDC. I would lose the CAT 5 input pigtail and use either a 2 or three pin waterproof connector that is currently available in the SSC coop.