What are my chances at getting into a top law school?

I attended undergrad at the University of Virginia. I double majored in Government and History and minored in Russian Language and Literature. My cumulative GPA was 3.808. I relaxed over the summer and studied this fall for the LSAT. I took the LSAT in December but I have a feeling I bombed it. My timing under pressure was much worse than in practice tests--I had to guess on about 6 questions per section as I was running out of time. Assuming my accuracy is so-so on the ones I attempted I'm hoping for a mid 150s as a best case scenario. I typically suck at timed standardized tests getting into UVA with lower than average SAT scores (I did get an 800 on the US history SAT II my area of expertise). I am a white male but come from a rural Southern Virginia town of about 1,200 and I was a first generation college student. I feel like I can write a killer personal statement as my goal is to go into public law--not private sector. I want to help people, I'm not in this for the maximum amount of money. What are realistically my chances at getting into a top tier school? Of course I don't expect Harvard or Yale, but what about a Cornell, UVA, Duke, or even Boston? Thanks.