At that point, I'm not sure what else you can do. Stellar LORs? Persistnet communication with adcomms? Amazing PS? If you are concerned about not "standing out" with your scores, you've got to start early to improve other things, like adding community involvement, travel or off the wall crazy weird/good thing to write your PS about.
I have an idea. Rather than complaining that your low score is more disfavorable than another person's low score, why not just get a higher score? It's a test of your reading speed of comprehension and logical acuity. Both of these things are learnable and in your control. Unlike your and the rest of the applicant pool's genetics or upbringing--and once you're out of school your GPA and those ECs are basically in cement, too.I just don't have a lot of sympathy for people who blame other applicants' backgrounds for weaknesses in their own applications. You should be focused on becoming the best applicant you can be in all respects and forget about the things you can't influence.
Just because you're from an avergage, white background doesn't mean you will be bypassed in favor of "URM's with lesser scores". It just means that in that particular case you couldn't match a bilingual, bicultural individual who has tons more cultural capital - and who knows how to write about it - than you'll ever dream of having. Especially if you, as a white Anglo, are straight out of undergrad.