Is it possible to wire a DPDT switch so that each position creates an output? (3 outputs)
Here's one way to do it using an ON-OFF-ON switch like this one:

one half of the switch in either on position shunts D3 preventing it from illuminating, this wastes about 20mA in the off position the LED lights
the other half selects between the other two LEDs when on



simulate this circuit &ndash; Schematic created using CircuitLab