Wings are nowhere near as deep as centers. That pool will dry up quickly and by the end of your draft, you will just be picking over the bones. When in doubt during your draft, pick a wing.
I tend to use defense to cover any categories that I might be deficient in outside of goal scoring. Sure, I want one Top 10 defender to anchor my team but after that, I use the position to solidify plus/minus, blocked shots, hits, or time on ice (league dependent). Defense is also deep, so I tend not to worry about waiting until the double-digit rounds to truly dig in there. As I mentioned earlier and can’t state enough, I’m looking for wings throughout my draft.