I may try loaning out the mic to another church with a similar band and music style as we are, their lead foh guy is a friend he would probably test it out for me.
I contacted audio ethics, now ae global media, to ask about coming to do an on site test. Even as a large installer/consulting business as they are, they have no test equipment as what you mentioned. If they need an analysis of that level, they have sennheiser/shure come on site to analyze. I've also contacted the 1 aes member in the state that listed contact info and they reported they were not qualified to diagnose this kind of problem.