sounds like you have a strong application, except unfortunately, as you pointed out, lack of research experience.
from http://www-2.cs.cmu.edu/%7Eharchol/gradschooltalk.pdf:
"At CMU we receive hundreds of applications each year from 4.0 GPA students who have never done research. These are all put into the high risk pile and are subsequently rejected."
it's hard for me to imagine top-10 schools like stanford and washington admit applicants with no significant research experience.
best of luck still.