I don't compete but of course that doesn't necessarily mean that I'm not competitive.
I think that not competing gives me a laid-back approach to training. I work best when I have SMART goals (Specific, Measurable, Attainable, Realistic, Time-bound), and it's definitely true that if you're a competitor you must be bound to such goals- but as long as I set those goals, as a non-competitor, I come out all right.
I'm like you, it's all about the journey, not necessarily the destination. I find that not competing leaves me caring less about my rank, nor do I focus on what other academies are doing. It's a very zen way to go about training. It's a good way to keep from getting angry over losing, getting overly upset about minor injuries, or getting too worked up over diet/exercise leading into a match.
I like being the guy that comes in, does his thing, and then goes home and doesn't have to spend every waking moment thinking about jiu jitsu (it's good to think about it, but you can't let it run your life...at least I can't let it run my life).
I wish I had more time to devote to training, but I work full-time, go to grad school part-time, and I also block out time during the week to jam with my friends (a great way to keep your relationships strong is to make music with people), and (I might get flamed for this) my girlfriend and I take dance classes one night a week...she loves it, I enjoy it, and I love that she is so appreciative that I am willing to do that with her.
I lift weights and run 3-4 days a week. I used to lift purely for aesthetic reasons, but after I began training I've incorporated both strength and endurance workouts into my typical hypertrophy-focused workouts.
As far as my game goes, I'm always trying to work on new aspects of it. Currently I'm trying to work on sweeps from half guard. I'm also more than happy to put my game on hold to focus on what my training partners want to work on.
I think it's good to have a guy like me around, who is willing to help competitors get ready for tournament. I understand that this is an individual sport, but it is a team effort.