Practice using a floyd rose and you will be able to get the bubble to be less bouncy.
My Floyd guitars all have buckers so no issues with noise on the high E. Once you learn how to tune a Floyd, they are pretty simple though.
The problem is definitely EMI. If I move the guitar to minimize the buzz, the tuning stabilizes. I just find it odd that my old, analog Peterson strobe isn't affected by the noise and neither is my Helix FX nor Shure GLXD16.