Equus, you are not unusual. I've met many women over the years who have more soft tissue than "normal." A combination of tight-fitting shorts, minimal chamois, and a cut-out seems to work best for this condition.

And not to drift too far, but I competed at a duathlon in November and a woman who was also racing came up to me (without knowing who I am or that I'm a cycling coach) and told me her life/athletic history, including about her labia-reduction surgery. yes, you read that right. she is an elite endurance athlete (RAAM, FC508, etc) and suffered from so much saddle discomfort that she had some soft tissue removed. the result wasn't flawless and she actually suffered some nerve damage.