Another idea in the idea exchange has hit upon something in my "junk drawer" of QD shortcuts. This time it is selective wire cleanup. If you want to try this as a QD shortcut, unzip the following files and place them in the folder
[LabVIEW 2009]\resource\dialog\QuickDrop\plugins
There are actually four methods of operation for the CleanSelectedWires, and only two choices for a given letter so I'll explain a little.
The first choice is whether or not to use the selection. In this case I fix this to true to match the given idea.
The second choice is how aggressive to be. Ctrl-Space+Ctrl-B (no shift) is not aggressive, it removes broken, but not void wires. Pretty useful when you have tunnels that are unwired but would still like to remove some of the messy broken wires. Ctrl-Space+Shift-Ctrl-B removes all forms of broken wires (like the default behavior, but in this case only for the selected wires).
You can modify B.vi to change the shift, no-shift behavior.