Similar for me, I have played around 8 courses through the society and several through inter club competitions then the odd random one thrown in but cant remember them allwithout writing them down, and cant be arsed this early on a Sunday! haha.
I couldn't tell you how many I played last year, but I've played a least twelve so far this year.
St. Andrews Jubilee (Once) & Eden (Twice), Crail Balcombie Links and Craighead Links, Murrayshall, Lynedoch, Blairgowrie Rosemount and Wee Course. Gullane Nos. 2 & 3. Tenerife Abama, Las Americas and Adeje.
During the winter months, we take the opportunity to play mainly links courses such as St. Andrews and Crail as they are cheap and usually in good condition.
I play alot of external competitions so well over 20 courses played last year. IMO you dont have a true handicap if you dont play away from home, however I guess thats another arguement.