I don't ever use screen protectors, so that issue is moot for me.
I agree that the touchy edge issue is a negative that can be overcome with even the slimmest of cases. I find holding the S7 Edge without a case is downright uncomfotable anyway. Too much anti-ergonomics at play in trying not to inadvertantly touch an edge or drop the phone. I would like to be able to use the S7E at home without a case, but that issue, and the fact its a fingerprint magnet, means it's always wearing some sort of case.
I've found, with a bunch of tweaks (you can find threads about battery life related stuff here or on XDA), that the battery life is just fine by me. I bought the S7E over the S7 only due to the bigger battery. I hoped that the bigger battery would be enough to overcome the bigger screen and still give me better life than the S7, and I think it's turned out that way. I turn off the edge features and other stuff for which I have no use.
This is the first Galaxy Sx handset I've owned (7 years of BlackBerrys, Droid Razr Maxx HD, Droid Maxx, Droid Turbo, LG G4) and I am perfectly happy with the choice.