Cool!
I just so happen to be finishing up my third high school stage production in post right now. In my case I just used my duel channel Azden receiver with mics strategically located up front by the house speakers. When there is a pit orchestra involved I kind of have to aim the mics in between the music and the house speakers which is tricky but you can get it. So far this has worked perfectly and you end up with true stereo sound in the end.
If this stage play youÂ’re doing is micÂ’ed up the same way, I would look into doing that instead. If notÂ… then your idea might work but it will be messy.
There are a couple of issues you will have to deal with. The first problem is that this Azden mixer (from your link) is set up for (3) mini plug inputs and (1) stereo mini plug output. That means that the mics you use MIGHT have to be phantom powered AND they have to have mini plug jacks so they mate with the mixer. These are what are referred to as “unbalanced” mics versus a "balanced" mics which use XLR plugs. A long run of mic cable for unbalanced mics can pose an unwanted RF noise problem where as a balanced mic system doesn’t have that problem. You want to use XLR if possible.
Now to get around the compatibility problem you could use XLR mics and cables (up to the mixer) and then plug those into an adapter which accepts XLR plugs and converts them to a mini style plug. This way you would have a good clean sound signal up to that point. Now you have the stereo output from the mixer but it looks like the Azden mixer comes with a special stereo to mono patch cord which is nice since your transmitter only works with a mono signal. You should be able to just plug the stereo end into the mixer and the mono end into the transmitter. You might have to turn the balance control on the mixer all the way to one side or the other to divert the total mic signals to the transmitter. I think the cable that came with the mixer was really intended to take a mono signal from the mixer and split that into 2 channels for your camera (I could be wrong though). Hopefully the transmitter then sends that signal to the receiver on your camera of which you then just plug into your camera. The input on your transmitter should be a standard mini plug too.
For the back ground noise, I would just use your other cameras's onboard mic and mix it together in post when editing in your NLE.
Mind you that in theory this should work. I have never tried this but I don't see why it wouldn't. You will just have to do get adapters and do a lot of sound checks to get everything dialed in on the mixer, your Azden wireless rig and your cameras.
I'm surprised that the place where this play is going on isn't mic'ed
Good luck!
RAM