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The PCI-6031 boards and the 6111 are E series so you can use Route Signal.vi with them.
The other DAQ boards that you are programming using NI-DAQ function calls will use RTSI Control.vi. This vi is right next to
Route Signal on the Functions Palette.
The 5911, 4060, 4551, and 5401 are all highly specialized boards and have their own special drivers that make programming them easier than using NI-DAQ functions. For each of these drivers, there is a configuration subpalette that will have functions for routing signals over RTSI lines.