Short maybe killing battery

My 98 bravada starts and runs if I drive it daily or every other day. However if I let it sit for 3 days or more the battery dies. I've temporarily stopped the problem by unplugging the positive battery terminal when I let it sit for more then a few hours or over night and I'm starting to get tired of doing this. Also, I'm not sure if this could be part of the problem or the cause, but the blinker continuously clicks when I don't have it on. The blinker lights don't go on, it just clicks. It only stops if I'm on the brake pedal. Any help would be greatly appreciated. Thanks.

Just terminology, if you actually had a short, blown fuses would be the result:

http://www.aa1car.com/library/battery_runs_down.htm