ETbaby has the right idea, I think. Maggies turn out to be excellent RF receivers, and are happy to feed that signal back to the amp. Theory has it that the signal heterodynes with the audio signal and generates high frequency harmonics which some people find disturbing.
There are several threads on the Audio Asylum Planar forum on inserting inductors on the speaker cables to ameliorate this tendency.
I used to run my Maggie 1.6's with Classe CA-200's. I used Analysis Plus copper oval speaker wires, but got even better results switching to the very humble (and Cheap!) Paul Speltz Anticables, which are basically terminated magwire.
A few years ago, I gutted the stock crossovers and went to an active crossover, putting one amp per driver (120wpc tube amps on the tweeter/mid drivers, and 600wpc Innersound amps on the bass panels). Since moving to the tube amps and using the Magwire cables, I have had no issues with high frequency harshness. OTOH, your hearing at high frequencies may be more acute than mine . Anyway, the Maggies are capable of producing extremely high quality sound, but they do require care in placement (as you know) and in amplification.
The HF inductor fix is a cheap thing to do, and others who share your pain have had good results -- no more sibilence.
Hope this helps!