I assume you're not insured through your workplace. 1) Look in the yellow pages/business section of your phone book under insurance or health insurance. You can check with the big companies like State Farm or Farmers. Or check with an independent agent. 2) Google "health insurance." I just did and they have lots of listings. Good luck! And stay healthy until you get that insurance.
You can look for health insurance for a 24 year old from Virginia health cover agencies. They offer health insurance that allows one to buy coverage they can afford. They have monthly premium that covers basic health.