I think the variety you choose matters as well. Brown basmati rice, IMO, has a much better flavor than regular brown.
There are other whole grain rices that are just as or even more nutritious than brown, with different flavor profiles. Black forbidden rice is whole grain and is loaded with antioxidants, comparable to blueberries. I love the flavor of this rice more than all other rices. There are pink and red whole grain rices as well, such as Madagascar rice or Himalayan Red rice.
Two companies that offer unusual and very delicious varieties of whole grain rices are
http://www.lotusfoods.com/ and
http://www.lundberg.com/