I've been known to look at a few 'asian' guys... it's kind of nice having someone a little closer to my height.. ... but seriously, if a guy is attractive, I will certainly look... regardless of his race.
And even if there were to be a handicap because of race... such things can be overcome by confidence, personality, and dressing in a nice way (women do pay attention to men's clothing choices --- usually the obvious stuff --- sloppy vs. neatly dressed).
Might be best to not worry so much about stereotypes... and focus more on making you the best you can be -- improving your social skills, building your confidence, learning to be happy with who you are, having a friend with fashion sense (everyone has at least one of those.. ), and focus on attracting women who mix well with who you are --- not just base your choices on their appearance, or stereotypes.
"The weakest soul, knowing its own weakness, and believing this truth that strength can only be developed by effort and practice, will, thus believing, at once begin to exert itself, and, adding effort to effort, patience to patience, and strength to strength, will never cease to develop, and will at last grow divinely strong."
- James Allen