Any tips on what might be causing this? All apps closed, BT off. Is there another sneaky process going on which I can turn off?
The battery problems are taken really seriously in Apple Store retail.
Get a Genuis Bar meeting, they have tools to diagnostic iOS devices
You will be fixed !
Does that mean that they can make your battery last longer? I'm a power user charging daily to keep battery at 100% for next day!
If your battery has really a problem, the diagnostic tool will show it.
In this case (and if your iphone is still under garanty), they can replace for free your iPhone with the same iPhone.
Mine has even been replaced whereas there had no problem on the diagnostic.