That makes sense. I didn't realize GnR tended to tune down a half step. SRV deteuned to Eb because he used heavy gage strings (13 as I recall). Aerosmith detuned sometimes too I think to get a heavier sound.
Just saw your addition to your previous post. Glad you managed to find a backing track in the key you wanted! I'm surprised actually because I thought that would be problematic.
You've got a good plan - hide the recorder and keep the expectations low!!!
Here's hoping your resulting recording provides a pleasant surprise.