Top 10 CS master's program w/out undergrad CS research

[Snowbun]

** Sorry, I had posted earlier, but I forgot to mention a few things. **

 

 

I just graduated with two bachelor's degrees in biology and psychology. But, I want to go to graduate school to study data science or machine learning. I started taking pre-reqs for ML a year and a half ago. (Discrete structures, multivariate calculus, linear algebra, probability theory, intro to programming, OO programing/data structures) I have a 3.955 undergrad GPA.
... I'm currently set to enter a CS post-bac certificate program for fall 2016-spring 2017. This program will allow me to get the rest of my CS pre-reqs covered. (For example, I'm taking advanced algorithms, software engineering, computer systems, and data science in the fall.)
... And I've done a year of neuroscience research, including an undergrad thesis. I have one paper submitted, second author that should be published by the time I apply. But, it is NOT computational neuroscience research.
... Additionally, I'll have good/great recommendations from my research PI, computer science professor, and my supervisor at my boss. (I'm like an undergrad teaching assistant for organic chemistry.)

 

I think that the biggest obstacle for me will be the fact that I have not done any CS research, and I won't have time to do any before I apply for a masters program.

Do you think it's feasible for me to get into a top 10 machine learning grad school (Stanford, Carnegie Mellon,

Berkeley, etc.) even though I have no CS research experience? Do you think that the fact that I've done neuroscience research will be enough to show that I have research potential?

[Snowbun]

I left the other post up for reference to the replies; should I take it down?