Who knows? I mean, you wanna ask me what size jock strap you should buy? How should I know? Whatever's comfortable for you. Personally, I think everybody should play Standard Thin necks, because to me that's the best profile/contour you can get. For you, that may not work out. Depends on what you're used to, what you're comfortable with, your playing style, what you might want to graduate into... the list is long.
As far as mechanics goes, the neck has more to say about the "tone" of the instrument than the body does, and thicker necks usually translate into greater sustain and more articulation. But, if you're the type to have a death grip on the neck, a thicker part may or may not get in your way. If you paid attention to your teacher and you keep your palm off the neck, then contour is less of an issue. I don't think hand size matters as much as some believe, but if you feel that could be an issue, then shoulder slopes and thickness might affect you more than some. Lotta variables, is what I'm trying to say. Makes it tough to give any advice.