Even women like me who can be opposed to beauty above substance are impressed by pageant experience once we have the whole thing explained. One of my friends in college was a Miss America finalist and I was appalled she did that crap until she explained that it was paying for college. And what was required for talent, general knowledge, etc. In short, you don't have to worry that by putting it on your resume you're saying "I'm pretty and here's your proof."
"Protect your dignity." Mariam Behnam