Since your answer is "1 or 2", this is a problem area for you since you are not generating anywhere near enough quantity of ideas to assure a high quality outcome. Remember that "bad ideas" can be fertilizer. Using quantity to get to quality is one of the easiest ways to overachieve creatively. Plus, it minimizes that destructive judgment element.
Yes, when you brainstorm you're usually looking for THE idea. But a big part of creativity is simply a numbers game. Generate more ideas and you'll simply have more ideas from which to choose the best. You'll have more good ideas and, sure, more "bad" ideas. But bad ideas can often be fertilizer for the creative process. The best creative thinkers produce more "fertilizer" than most people. (Maybe that's how they got to be great thinkers.)