So, I have the S7 (not EDGE) and I'm using a Spigen Hard Snap-On case. I would recommend using at least a normal plastic screen protector (preferably a high-quality one) to at least avoid scratches.
I'm also using a Tempered Glass which I got in MediaMarkt (In Germany) and I got very lucky since it's thin and good quality, making it usable with almost every case. But it's already hard enough finding a good Tempered Glass Screen Protector for my S7 which is curved, so it'll be even harder for the EDGE version. Check on Amazon though, there are a lot of options there.
But you can get a tempered glass which doesn't go around the curves, but that's not much use, is it? Skins are only cosmetic, they will provide no drop protection whatsoever, but it might help with scratches though. It is an incredibly sexy phone, but it breaks easy too.
If you're going to Tempered Glass, get a ZAGG IvisaShield HD. And for the case, get SPIGEN Hard Snap-On cases.
I use this: https://www.amazon.com/Galaxy-Spigen%C2%AE-Exact-Fit-Premium-Samsung/dp/B01A7ICRLO/ref=sr_1_5?s=wireless&ie=UTF8&qid=1471938358&sr=1-5&keywords=spigen+s7
I actually have the first one that was linked (the non-Edge version) and I absolutely love it. My roommate had a different case for his S7 and once he saw the one I got, he immediately switched.
have this one for my s7 but it's the exact for model that has the phone exposed at top and bottom so it's even more minimal. love it cause it's very matte and adds grip to the very slippery glass back and adds basic protection. wireless charging works too FYI...
I had the same problem with that case. Went with one of these instead and it's great.
Spigen Thin Fit Galaxy S7 Case https://www.amazon.com/dp/B01A7ICRLO/ref=cm_sw_r_other_apa_8gljybEA96QAA
It's just the nature of it. Some cases are going to grip the curved edge more. Others, like snap on thin cases, do not grip the edge as much and are fine with this protector.
So my debate right now is to stick with this protector and a thin case, or get a protector that only rests on the flat area of the glass, and use the thicker cases.
These are the 3 Spigens I have, last 2 I believe are variants of yours, and the ones that peel up for me. First one is working with the IQ sheild.