I am new to this, but I don't think you need to be invited to join a club, at least not where I live. I went to my local hobby shop, and asked about local clubs. The guy there told me of a couple. I then did a little research online, and found a list of clubs near me.

You can go here to find AMA clubs near you -

http://www.modelaircraft.org/clubsearch.aspx

After I located local clubs, I went to their website if they had one. I got directions, and just showed up at a time I thought people would be there (afternoons on weekends are great times to stop by).

If you don't want to just show up, give a call to the contact person listed with the AMA. They can help you arrange a time to meet at the field.

One thing that you didn't mention was if you belong to the AMA. Most clubs I know require AMA membership before you can join the local club.

Good luck finding a club!