edit: TomG beat me to it. What he said. :)
This can be done with Linear Float controller nodes. I'm not an expert in controller nodes, so I'm not sure if Linear Float is the best one, but it seems to work. The concept is that you're basically connecting one of the text inputs from the UVW Randomizer out to an external node.
Anyway, right click in Slate, go to Controllers/Float Controller/Linear Float. Drag a connection from the output of this node to your UVW Randomizer map. When you let go, you'll be given a list of all the UVW Randomizer inputs. Choose one, and now whatever you enter in that Controller node will show up in the corresponding spot in the UVW Randomizer map. Add separate Controller nodes for each input you'd like to control.
Now if you clone the UVW Randomizer map (just grab the map, don't grab the controllers), it'll connect up to the original controllers. Now you can enter a value in a controller and it'll update each connected UVW Randomizer map. You can even adjust a value inside a UVW Randomizer map, and if it has a controller connected, it'll update the controller and any other UVW Randomizer map connected to it.
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