I agree that in the sciences where you graduate from is less important than what you did while there. Grades matter, and so do the GREs. I know you were just throwing out the number 3.3, but that is too low to get into grad school, and 3.7 may be a bit low for the very top grad schools depending on the rest of your record.
Sometimes small private schools are nice if the profs get to know you. I went to a small school with no grad program in biology. As a result, I was a TA and research assistant since there were no grad students to do the work and got my name on two papers and was admitted to my top choice of med school. But I was in undergrad on a scholarship so I didn’t pay private school tuition.
The main thing is, it matters far more what YOU do than the name of the undergraduate school.