Ha, ha! Good point!

Fortunately, I do trust my ears to a large degree. I can hear a resonance and have a reasonable first guess as to the frequency range.

One thing about an RTA is that I can train people in the IT department (they own the system) to use it. I don't know that I can train their ears. They're good with PCs though. I should be able to come up with a cheap RTA solution to run on a laptop for them.

Next step: get a 31-band EQ...

Success!!!
 

We just completed another meeting in the same room with the same speakers, and it was a complete success.

I arrived earlier and set the speakers further forward. I got the president's microphone (Countryman E6) properly fitted. We got a snake and positioned the mixing board properly. I got a 31-band EQ and found the problem bands before the meeting started. The results were ideal.

Still, our president has a very gravelly voice, and he arrived late enough that I didn't get a sound check with him. As soon as he stepped away from me, he muted the wireless transmitter. The first I heard his voice on the system was live.

Still, I was able to ride the levels and keep it just shy of feeding back. It didn't take long to balance the lo/mid/hi EQ for his channel to get a more pleasing sound and a bit more volume.

One adjustment I need to make is to get a hotter signal into the EQ, so I can hit the detection LEDs. As it was any EQ adjustment was by ear only.

Others used a handheld mic. Unfortunately, I was only able to coach one person on where to hold it. Two of the speakers held the mic much too far away, but I was able to get enough level without feedback anyway.

FYI, the EQ we purchased is the Peavey QF131. It's not high end by any means, but killed the resonant frequencies and was very quiet, so it met all of my requirements.

http://peavey.com/products/browse.cf...h%20FLS(R).cfm

Thanks to everybody for your earlier feedback...