Interesting...within the relatively new sup industry there are numerous studies from the "experts" on the proper way to paddle for efficiency, power, and more important to prevent injury. Paddle lengths have gone from a foot or more over your head (based on extended arm length) to chin level and everywhere in-between.
Bottom line do what feels comfortable to you, and make sure you have fun and don't take it to serious, everyone is different but some good info here in this article.
http://www.sup-internationalmag.com/knowledge-paddle-science-3/?ref=supzero.com