I have FPS capped at 59 with NVIDIA inspector and hasn't experienced any weird issues, BUT I STILL stutter though. I think (i'm around 70% sure) that the stutter is because I have a crappy mouse atm because my old (and better) one broke, because it was around the time when I switched mouses that I noticed how bad the stutter was.
I haven't tried the borderless window mod. Is it COMPLETELY borderless, so all you see is the game, not one bit of anything else? If yes, I might consider using it if the stutter doesn't go away after buying a better mouse.
With the SBW mod, you set the resolution in the Skyrim launcher to Windowed mode, then select your res e.g. 1920 x 1080.
Then use SBW.exe to launch the game. It will open in a window, then after a few moments (usually by the time the main menu has loaded) the window will fill the screen perfectly, as though you were running fullscreen.
The only downside is you may lose a couple of fps. Some people get a performance loss in windowed mode.
EDIT: And if you use SKSE like me, SBW.exe will use skse_loader.exe to launch the game
