here in wa state if you go through the state to adopt a child, there isnt a wait for a special needs child after all your paperwork,fbi background, classes, and homestudy is complete. but just because a child is "labeled" as special needs DOES NOT mean that they are physically or mentally disabled. some times they are "labeled" as specail needs because of their age, or because they belong(dont know if thats how to say it) with a sibling group. and sometimes its because they have a small fixable medical problem.
Check into your state for adoption, you can usually get info from the dcf or dshs office.
Good Luck
p.s. the reason i put "labeled" is because that is not my term.