Short answer is that it is hard to say. The general consensus is that las schools are very numbers focused, and you are what would be considered a splitter. Your LSAT score is obviously great and that will help a lot, your GPA is good for someone who actually took difficult courses, but the competition you will be facing for entry have mostly focused on basket weaving and/or other worthless stuff, and many will have very nice GPAs despite having little to no useful knowledge or skills.
Recent stories have discussed a reduction of applicants to law schools, and assuming that this trend continues, it will likely help you and anyone else considering heading to law school.
Your papers, leadership roles and graduate degree will generally be considered soft factors, that could help, but it does not seem to bend the curve very far. In normal times, splitters are hard to predict, but these do not appear to be normal times. I would suggest applying broadly to those places that you are interested in, I strong suspect that you will be able to find multiple acceptances in the top 20. If I were to hazard a guess, I would say that Northwestern, Georgetown, & George Washington would all show up as acceptances. As you drift down the scale some, I would fully expect that scholarship offers will be made, and some may well be considerable, but once again being a splitter will make your cycle hard to predict.
If you have not already done so I would suggest taking a look at:
Law School Predictorhttp://www.lawschoolpredictor.com
Law School Numbershttp://www.lawschoolnumbers.com