Here is a list of the local and state vegetarian groups. if this site doesnt have it, you're out of luck
Links to Local or State Vegetarian Groups -- The Vegetarian Resource Group
I found this one, but it is not for Christians only. It's for anyone who is a vegeatarian.
The Raleigh-Durham Vegan Meetup Group (Raleigh, NC) - Meetup.com (http://vegan.meetup.com/90/ - broken link)
I honestly don't think you are going to find a group that specific. You can find Christian meet ups, you can find vegetarian and vegan meet ups. But combined? Only if you make it yourself