My biggest fear is he will not listen although he tends to get bashful (although he is not).
..you might want to try the "letting down the team" approach for the listening thing. I've found this to work quite well with quite a few kids (my own and others I've coached). "If you listen, the coach will help you learn how to play. If you learn how to play, you'll help the team and have more fun then if you don't know what to do", kind of approach.
Pay close attention to what type of coach he ends up with. The good kind take the middle of the road approach. Hopefully you won't start out with either "we are all winners, yea!" (sets them up for frustration at the higher level when, no, not everyone wins all the time) or "winning is the only thing, we need to crush the other 5 year-olds" (the kids end up so afraid to make mistakes they can't even play). If you do, try and balance them out after practice to keep your son's expectation realistic.
golf is big down here... i have some friends that are really good... my bf is a great bowler which is always an option too
check with the local bowling lanes to see if they have a USBC Youth program. (Used to be called YABA - Young American Bowling Association but they brought it all under the USBC header)
Kids can start anytime after the age of 5. Leagues usually run Sept. through May or June. The kids are broken down into three groups by age: 13-18, 8-12, and 5-7 in "bumper league" - they actually have "bumpers" all the way down the lane to keep the ball out of the gutter, so they can have a little less frustrating time playing.