Hi Michael,
Yes, use the MK60FN1M0xxx12 on the TWR-K60F120M:
The 'Boards' group lists for now only boards supported by the Kinetis SDK. The difference between the 'boards' list and the normal list is that with the boards you get the the pin muxing pre-configured for that particular board. But you can use any board with the Processor/devices listed.
Erich