Mac, I have an Eric Johnson neck on my Strat and I really like it. It is not super thick but more substantial than I have played in the past. It is a soft V and feels good in my hand. It also makes my fingers "stand up" a little more, which has improved my playing, and is less tiring to play than a thin neck. Counter intuitive, I know, but it is a very comfortable neck. It also has a 12" radius.
I liked it so much that I had the same profile put on the neck of my Rutter's Tele. Try one out in a guitar shop and if it is not perfect for you, at least you will have a starting point.
If you want custom-made, USA Guitars is a great place to shop for necks. Check out their site for info on different neck profiles. It is very helpful.
http://www.usacustomguitars.com/contours.html