No, doesn't exist. LG G3 is the closest match.
Again, LG G3. I remember reading about the Galaxy S6 being easy to root, but I honestly don't know if this applies to the Verizon version or not.
The G2 is still a great phone, and they're amazingly cheap these days. The G3 was everything people loved about the G2, but corrected the things people didn't like (microSD slot, removable battery). If she's OK with the extra size of the G3, that's the best choice. Better hardware, better camera, better speaker, etc. Plus, if you're (or rather, she's) not into trying custom ROMs, the G3 will have longer life in terms of updates.