I'm not a big fan of
Schuyler, as a spelling. Not sure why. On the other hand, it has a less made-up, more authentic feel than the other two options. I once knew a boy with this name, he'd be in his early 20's now.
Also, knew a girl named
Skye, who would also be in her early 20's now, so named because she was a 4th child--her middle name was Limit--for "sky's the limit."
I love the sky, in all weather, at all times of day, so I love the associations this name has. I wouldn't mind being named
Sky or
Skye or
Skyler, etc. All the spellings seem really unisex to me, which I also happen to really like.