Use your rode mic, keep your levels out of the red/yellow, set your mic gain properly, and it'll work out fine. So many people get great sound out of those things, it's all about using them properly. Bring your laptop and headphones, and do some test recordings too, then listen to them on the computer and make sure it sounds good. If its for a music school don't make any cuts in the video, they need to see the whole thing from start to finish uninterrupted.
Also, most music stores have a rental department and will rent recording gear, everything from mics to those zoom recorders like the one posted above. I think you would be better off just using your rode mic though. Maybe with one of those zoom recorders. Live recording is an art in its own, if you know how to use your rode mic it would probably yield better results than a more complex setup that you're not comfortable with.