As the previous poster stated, there are many schools that offer merit scholarships, and perhaps a few that have "specialized" scholarships for students with dependent children, married students, former farm owners, etc.
One thing you can do is take a look at the LSAC guide to law schools. In the grids, it lists the percentage of students receiving scholarships and breaks that aid into sections (i.e. more than full tuition, full tuition, half tuition, etc.) Perhaps that will have some impact on where you decide to apply...it doesn't hurt to play the odds. I have been offered a full tuition scholarship to The University of Toledo, which has a really good endowment fund and offers full rides to about 40% of its students per year. On the other side of the spectrum, I was accepted to Stetson, and the financial aid office told me directly that they have very little available for scholarship aid. I know Valparaiso offers some good scholarships as well (tuition plus stipend). Good luck.