Hi,
I've had my two G7s running for well over a year now. The meshes are not glued or soldered to the body, just a tight fit due to the solder used to make the mesh assembly. I have had no problems with noise or hum whatsoever.
One trick I found is to roll the mesh up, push it inside the tube and then solder the grill together while the body holds it in place.
Mine are here.
http://www.omnipressor.com/Other/G7mics/Z-mesh.html
I used two layers but I'm sure just one would work fine.
z50