Those fast CPUs/GPUs and large-pixel-count screens are going to suck up the juice. Consider going a notch down instead - a 720p screen and a 4xx series processor can handle things quite nicely. The LG G Stylo has the same battery as the G4, but the battery life is flat-out awesome. With moderately heavy daily use, I rarely see below 60% remaining battery life when I plug it in for the night.
Like the G4, the battery is removable and there is an SD slot.
Keep in mind that the T-Mobile/MetroPCS version is better than the others; it has 2GB RAM/16 GB internal storage vs. 1GB/8GB for other carriers.
The main drawback to the Stylo is that LG purposely crippled the camera; there are very few shooting modes available, and no manual controls, even though it's the same camera hardware as (at least) the G3. Fortunately, XCam LG will run fine on it, even though it was intended for the G3.