I've just started my second year of my law degree and in my gap year between school and uni I went to Ghana with Projects Abroad and worked on the human rights project there. Honestly, it was the best time of my life, i had so much fun. It doesn't really matter that the project isn't ABA sponsered, because i've found that any experience is good experience, and that you've shown initiative and gone somewhere different really impresses employers. It's also different to what everyone else does, and will make you stand out from the crowd. It also gives you something to talk about in interviews, I could talk about my time in Ghana all day!
I would really reccomend Projects Abroad because you get to gain experience in a legal environment, but also you live with a local family so you are able to experience another culture first hand, which really impresses employers. There's a large volunteer community there as well, so you make lots of friends who you instantly have things in common with, seeing as you've all chosen to volunteer. I know you have to pay to go there but it really is good value, and the in-country support is excellent.
Hope this helps,
reply if you have any more specific questions