The VBC (a MOSFET, not an actual resistor) on an '11 Rogue is on the front of the blower housing beside the accelerator pedal. It can't be replaced without removing the pedal assembly, although you can unplug the connector by blind feel if you know where it's located. If it's blown (and it sounds like it is), replace the blower motor too. VBC's don't blow by accident, chances are your blower is drawing too much startup current and overloaded it. So even though the motor still spins, it isn't healthy. See this post for some general enlightenment:
blower-basics-t628180.html
The motors aren't hard to replace once you have the accelerator assembly removed, they're on the same side of the housing as the VBC but higher up. Very awkward to reach, but they twist in and out with only one phillips screw holding them.