An update on my two devices and battery life. My takeaway is that Apple's new search Home page is killing it - literally - on some, but not all devices. A friend of mine has had similar experiences with battery drain as mine on her iPhone and iPad.
I gave up on my iPhone 6 yesterday and DFUed back to 8.3. I had the "Home Screen" battery drain as others had posted - disabling the Nearby Apps and Siri and most of the Search (Spotlight) didn't change the precipitous drop.
My iPad 3 (VZW LTE w/ UL data) is a different matter. I've used a few GPS-enhanced apps - Maps, Google Maps, and INRIX, DLed and installed a couple of dozen apps (Google, Adobe, Amazon, etc.), updated a couple of apps, surfed the web and checked/read/composed email, and used Newsify (connected to Feedly/Instapaper - all over cellular (no wifi). 4 days later with no charging time, about 6 hours of use - there's about 78% of battery life left, and the iPad's never been warmer than room temperature.