Don't let the number of flats or sharps freak you out. Think less about the chords and keys and more on hearing how nice the changes sound in this non-traditional key.
You probably know this tune and could sing it in any key. Do that using your instrument.
Don't let your eyes freak you out when you see complex chord changes. Trust what your ears already know about the tune.
- Start by just listening to the track. Try not to peek at the changes!
- Next, sing or hum along with the melody
- Let your ears guide you through the tune.
- If you play a note you don't like, use your ear to find your way back to 'safety.'