In terms of undergraduate Neuroscience program, there is no comparison to Brown’s. Do your own research to find out.
Yale also created a new Neuroscience major last year. (https://news.yale.edu/2017/04/11/yale-college-creates-new-neuroscience-major )
You won’t have problems getting into a good med school if you do well in either school. Your stats are kind of low for admissions to either school. If cost of attendance is important to you, Rice is a good choice, especially with its recent announcement of free tuition offer for income less than $130,000.
From the front page article of the current issue of Brown Alumni Magazine (https://www.brownalumnimagazine.com/articles/2018-09-11/on-the-neural-frontier )
It’s hard to make your way through a brain science convention these days without running into a Brown alum. “Many of us saw that creeping up on us,” says Carney Institute director Diane Lipscombe. In addition to being one of the first universities to offer a neuroscience degree, Brown was a pioneer in exposing first-year students to neuroscience and the first university to use a textbook—written by three Brown professors—designed for non-specialist undergraduates.
Some alumni—like University of Washington pharmacology professor William Catterall PhD ’68, a member of the National Academy of Sciences who has won too many awards to list—are from a time before a neuroscience department even existed at Brown. But many are the result of Brown’s early adoption of neuroscience as a course of study. “When we go to national meetings,” says Lipscombe, “there is a huge community of people who did their undergraduate work here in neuroscience or something related.”Brown created a center for what was once called neural science in the early 1970s. As early as 1999, it created a brain science program as a forum for different disciplines to collaborate, growing into the institute by 2009. Now it stretches between 45 labs across campus, with 130-some professors working in fields as diverse as psychology, neuroengineering, and computational neuroscience.