Define what you mean by prestige.
If by that you mean highly selective, highly ranked, what most people mean when they use that term, you’re not a great fit with a 3.6.
If you mean you want great career and high earnings potential, there are lots of schools that fit that bill. Few realize it, but the median salary 2 years out from Kettering and University of Michigan-Dearborn are higher than Stanford, Berkeley and MIT.
So which is it?
My son used to say any location was fine as long as the job was awesome…until he worked at Edwards AFB in the Mojave! 
Are you good with Alabama? Florida? South Dakota? Missouri? All have very good options that you’d be competitive for, but are unique environments.
My son’s alma mater Cal Poly is frequently referenced as the whitest CA public. While that might be true as evidenced by the caucasian percentage, the percentage of black and brown students is the same as Berkeley, a school often thought of as diverse. It’s that CP has fewer Asians than the others and the balance is filled by white students. It’s in a largely white and hispanic region of CA, so that sort of makes sense, even though they’ve made a great effort to be more diverse. That may also mean diversity in regards to political beliefs of sexual identity. Is there a particular group you want to see more of at your school when you refer to diversity?
Lastly, budget should be an issue. We’ve discussed this in detail on another thread, but for ME there is minimal correlation to prestige, price, and earnings The money you and/or your family save can be put to another use. It’s important to at least weigh that.
You need to start with a safety. Binghamton and Stony Brook seem like the obvious choices. If you’re willing to consider the Merchant Marines, SUNY Maritime MEs earn more at 2 years than any other grads in the nation, public or private.