For terminal applications or DOS, pressing control plus A through Z generates ASCII characters 1 through 26 respectively. So Control+C generates ASCII character 3. To generate this as a string constant you can use there are probably several methods.
Method 1: Drop a numeric constant on the Block Diagram. Right click the constant and change the representation to U8. Change the U8 constant value to 3. Now drop the Type Cast function on the Block Diagram. Wire the U8 constant to the input of the type cast. The default output is a string I think, and you can wire any string constant to the type indicator of the Type Cast function to be sure.
Method 2: Place a U8 Array to String conversion on the Block Diagram. The string output of the conversion may be wired to your CIN/DLL. For the input, create a constant by right clicking on the input node. An array of U8 constant should appear. Put the number 3 in the first number of the array.
I think I forgot what is probably the easiest way... setting the display for a string control as hex display. Using a hex displayed string I think you can enter the ASCII value in plaintext and it gets converted, so you would make sure it says 0x03, and wire it to your CIN/DLL.
I don't have LabVIEW around at the moment to make sure the details on the last item are completely correct. You should be able to get one of those to work though.