When you have multiple speakers hooked up to one amplifier, you generally need to have an impedance matching volume control or speaker selector inline.
That's exactly what the Niles SS-VC4 is.
Niles Audio Corporation
It has a impedance matching selector on the back of the unit which is shown on page 3 of the manual:
http://www.nilesaudio.com/images/PDF/SSVC_manual.pdf
This should be set for 3/4 pairs of speakers and it will ensure that the ohm load never drops below 4 when any or all speakers are in use. It should be left at that level at all times and you should be able to use your A/V receiver without issue.
Now, with that said, you want to keep in mind that 6 speakers are still being driven off a single stereo output from your A/V receiver. The power has to be shared by all of them, and this can cause the receiver to not be able to handle things if you ever really want to turn things up a bit (ie: party time!). If you do ever experience thermal shutdown of your receiver, then this will probably be the reason why.
At that point, and not before, you can purchase an external amplifier to run the speakers. This amplifier can be a dedicated stereo amplifier. Since you don't have volume controls in each room and the Niles speaker selector/volume controller is designed to only allow a stereo input, I would stick with a stereo amplifier in this type of installation.
eBay offers many decent stereo amplifiers and there are a ton of solutions out there.
Make sure that your equipment is in a well ventilated area. If it is in a cabinet, stacked on top of each other, and/or has doors which close in front of it, then that is not a well ventilated area. Have no doubt, thermal issues are the top reason that equipment fails. But, it is because equipment is jammed into a lousy location, not because the equipment sucks. Several inches between all gear in an open, well ventilated area is a requirement to ensure long life and extremely high reliability.
As for Airplay, some products can be picky about sending them to second zones or working perfectly, you may want to keep in the back of your head that you may want an AppleTV or AirPort Express to reliably get audio into your system. If you go with AppleTV, you will need an inexpensive DAC to get analog audio for zone 2. More on that later if this proves to be necessary.