Your scores will matter no more or less than anyone else who submits them. SSAT (or ISEE) scores only prove how well you tested compared to the cohort that took the test. Some kids test well, some don’t. Standardized test scores correlate most with family income, rather than measures of success or aptitude. That being said, they have some finite value in a holistic review of an applicant. In short, don’t rely on your scores. Let your LORs, essays and short answers tell your story.
What exactly is a “white boy stereotype”? Since I have two white sons that attend BS, I suppose I should know where they fit in.