I like Hank but would go with the full name just for the sake of being versatile. Henry Norman sounds good. 

Going by sound alone, I like Henry Norman best of all your options.  Hank Norman is Ok, but not great.  Hank Charles I don't like at all.  I know you didn't include it as an option, but Henry Charles would be my favorite.

Regarding your Hank vs. Henry problem, I'm generally not a big fan of nicknames as given names.  A just Hank is always going to be just Hank, even if it doesn't fit him.  However, a Henry called Hank always has Henry (or Harry) to fall back on if he doesn't feel like a Hank or if he justs wants something more formal to use professionally.

I'll also add that for me, Hank sounds like the class clown, athlete, cowboy type.  It's very hard for me to imagine that name on a more bookish or artistic person.  However, Henry strikes me are more versatile in that I can imagine all of the above personalities being named Henry.

Anything that starts with "E."

The name Hank always makes me think of "hanky" in my pocket for snot, or "hanky panky" as in, sexual relations. 

So, I'll give you my two cents as the mom of a Jack and a Henry

First, I obviously love the name Henry, and I also adore the name Hank.

We do know a Henry who is Only ever called Hank.

We fully intended to call ours both Hank and Henry, but in practice, it just didn't work out.

I think part of the problem was that a lot of people don't know that Hank is a nn for Henry! I know it's hard to believe-but remember that most people don't hang out on naming sites, and lots of people won't have ever known a young Hank.  I'm sure if you introduce him as Hank and use it, it will be just fine. My point is just that it seems like a tricky one to toggle between the two versions-if that makes sense.

My only hesitancy with Hank as a given name, is that it does have the slightest twinge of, "Pet name," about it. That may be because our neighbor's dog is Hank, and there are some children's books our boys like about Hank the Cow Dog. Of course, there are any number of men in industry and so on who go by Hank-Hank Paulsen springs to mind first.

My bottom line is that I personally prefer Henry as a given name, but if the only reason you'd use it would be the flow, then go with Hank Norman. I think it flows perfectly fine, and is an all around fine name.

I do agree that there is something a bit off about Hank Charles.

Henry Charles is also fine, though quite regal!

We do still call ours Hank from time to time, and I secretly hope he may take to it more as a teen. Right now, he prefers the long form.

I don't know that any of that helps You, but that's my two cents! Good luck!

J&H's mom, not logged in-again-sorry-