Hard to say, what guitars do you have at the moment, for reference?
I don't have big hands either, but personally I prefer big(ish) necks. My favourite is the '59 Roundback and I usually get the 1-11/16" nut width. Don't mind 1-5/8" either, but I wouldn't go to 1-3/4".
You're looking at the two smallest neck shapes, I find both the Wizard and Standard Thin too skinny, but as a rough guide the Standard Thin is pretty similar to a new Fender American Standard, the Wizard is - I assume - similar to an Ibanez Wizard! Standard Thin is Warmoth's biggest seller, they have a lot more of those in the showcase than any other size.
For scale length, I don't think you need to worry about the size of your hands when comparing 24-3/4" versus 25-1/2". The former is Gibson, the latter is Fender - and they make most of their necks to the Fender scale length so again you'll get more choice at 25-1/2".