Call it a Guild, instead of a club? "Guild," is grownup and important. Plus it will open up discussions with friends as to the word's meaning. Refer to the classes as "Meetings," even if they take place at school during class hours. Have membership cards, and select a mascot block ("schoolhouse" steps?). Each member colors a cut-out block which is then laminated, hole-punched, threaded with selvedge, and worn around the neck during meetings.
how about: the Special People Quilt Guild