After screwing around with mods, pref settings, and NvidiaInspector last night I managed to make the special edition completely unplayable. This is because I have no idea what I'm doing. BUT, after I went about trying to repair the damage I'd done I've somehow got the game running on Ultra at 1440p and I'm getting anywhere between 80-120 fps depending on whether I'm inside or outdoors, and so far I haven't had a single issue. This is odd, since the last time I played Skyrim at 60+ FPS I thought I was having an aneurysm.
Sadly, since this was just a pleasant side effect to my utter incompetence I can't offer any advice on how to replicate it other than make your game unplayable and then try to fix it.
Keep in mind - old version of Skyrim had 32-bit EXE. Skyrim SE should run+perform better, since it's a 64-bit EXE.... provided you have decent hardware+software to support that, of course... and sounds like you do, since you have nice framerates over 60FPS.
Since you have 80-120FPS, you probably forced VSync Off somewhere - either via NVidia Panel/AMD Panel; changed VSync settings in Skyrim's Prefs.INI; NVidia Inspector; or something.
From what I'm reading on Steam's boards: Bethesda's games on their engine these days normally have a 60FPS cap and have VSync On - they're built around that, unfortunately.
So...sure - you could leave it uncapped. If all goes well, you have no issues, and you're fine w/ its performance - leave it alone.
But, if anything goes out the window - i.e. physics go horribly wrong, in-game schedules are off, AI goes wonkier (than usual), animations are messier, you get screen tearing, any other graphical weirdness, hit-detection is way off, etc etc - you might want to 60FPS cap it; or just enable VSync again.
It might just be best to cap it at 60FPS with a 3rd party program (like MSI Afterburner or enable VSync via NVidia Panel), if you disable Skyrim's in-game VSync method.
I normally often do keep VSync off b/c I want the extra frames + performance; and I usually aim for 60FPS myself. If things start going + flying right out the window, then VSync will have to go back on.