When I connect these mics to XLR ports with Rode's XLR adapter, there's an annoying signal sound, it's not hiss/humm, something else. When I use the 3.5 connection on the X/Y adapter of H6 with plugin power, this noise is still there.

ATR3350 has its own battery, so I don't think it's about phantom power (however I shut the power down). Also I realized when I touch the USB connection of H6 at right with my finger, the noise reduces (really weird). Same happens when I touch to the metal plate on the front face of the device as well. Somehow, my hand is stopping the noise.

When I connect these mics to Zoom H1, there's no noise. I contacted with Zoom product service, had a reply to my email, then they stopped talking with me. "Kind reminders" didn't work.

My only options for now are these devices and for a long time I'll not be able to afford a wireless transmitter. Here you can find a sound record demonstrating my problem, sorry for my weak English and moaning voice :) http://1drv.ms/1PWQCIh

Any solutions?

Oh, and they advertise it with "easy to use". It´s not. (well maybe when it´s set up and properly functioning; it´s easy to zoom, pan & tilt and make presets, however when you need to dig into the menus you need their equally abysmal manual) It´s the most counter-intuitive piece of equipment I´ve used.