I don’t know what kind of financial aid VA public schools offer, but they are certainly excellent schools. My understanding is that, with some exceptions (high-stats merit aid at U of Alabama, Ole Miss are a couple you should look in to), public universities do not give significant amounts of aid to out-of-state students - which makes sense. Their mandate is to educate the tax paying citizens in their state. They look for out-of-state students to be full pay to subsidize in-state students.
If you have financial need, then the more selective/prestigious the school, the better the aid typically, as they have large endowments. If you don’t have significant need, then an option is to look at private schools where your scores place you in the top 10-15% of students. These schools often give substantial merit scholarships to students who boost their averages.
If you use the search tool on this site, one of the options you can select is to filter for schools where your numbers are high enough to likely qualify you for aid. Then look at whether the schools returned offer merit aid (not all schools do). Unfortunately net price calculators won’t help you out here, as most schools have somewhat flexible criteria for who receives merit scholarships (based on the competitiveness of the applicant pool any given year). Some even require you to come on-campus for scholarship competition days.
For example, Elon University has tuition of $31,000/year. Approx. the top 15% of students are automatically eligible for a Presidential scholarship, which can be up to $6k/year (renewable as long as GPA is maintained). Then you can apply to compete for a Fellows program such as Honors - if accepted, that’s an additional $13,500/year renewable. So now tuition is down to $11,500. Honors fellows planning on medical school can apply for an additional $4,000/year scholarship (renewable). And one Honors fellow receives a 4-year full tuition scholarship. None of this is guaranteed, but with your stats, you would be very competitive at Elon or other comparable colleges.