Solution
In order to make a connection between channels on different banks, the PXIe-2593 will need to be set using the 'Independent' topology. With the Independent topology, each individual relay on the switch module will need to be controlled manually to create the path between channels.
To determine the internal channel names, combine the names of all relays adjacent to a channel, in alphabetical order, and remove the K's.
For example, if you would like to create a connection between CH4 and COM1 on the PXIe-2593, then you would use the following channel connections:

To show this visually, the path is drawn out below which shows each relay that is connected between channels to connect CH4 to COM1.

All valid internal channel names for the PXIe-2593 switch module, connection examples and more can be found in the PXIe-2593 Features page.