I’m in NC and D24 was also looking at neuroscience.
The college that checks the most boxes would be UNC Chapel Hill, but who knows about admittance (class rank is probably going to be an issue, seems like they skim off a few of the highest ranked kids from each school in NC).
ECU and UNC-W have neuroscience (minor at Wilmington). It might be worth going to the open houses this fall and digging into their honors programs. ECU especially seems to be looking to attract high achieving kids with their honors program offerings and scholarships and if the neuroscience interest is pre-med they would be a top in-state affordable choice.
NC State has an IPN concentration, which looked to me like it would prepare a person pretty well for medicine or graduate study in neuroscience.
Not sure if this could make it to 30K, but check out University of Tennessee - Knoxville.
Another one to look at would be University of South Carolina. Their neuroscience program is new, and I hear great things about the honors program and financial aid there.
Miami University might be too far depending on where you are in NC, but could be worth checking out.