Norwood CC is probably the closest to you, however most of the Adelaide clubs have races in and around the hills. The SA Cycling site -http://www.sa.cycling.org.au site appears to be broken at the moment but here is a list of SA clubs you can research-
Adelaide Cycling Club
Central Districts Cycling Club
Kilkenny Cycling Club
Mildura-Coomealla Cycling Club
Mt Gambier Cycling and Triathlon Club
Noarlunga Cycling Club
Norwood Cycling Club
Port Adelaide Cycling Club
Riverland Cycling Club
Sturt Marion Holdfast Cycling Club
Contact a club, get a license and a race program, and away you go. You can ride with different clubs races whenever there is one near you if getting to a race is difficult for you. Good luck!
