i'm currently a visiting student... email me if you got questions...
You can apply for any reason... going to an area to work is fine for the schools that you apply to.. They do not care... The ivy league ones usually will not take you unless your at a similarly ranked school...
I got into temple, villanova and widener.. I'm at villanova b/c it is closest to my house... Penn rejected me... kinda glad they did b/c i would feel forced to go and pay the extra 10K.
Your home school may be tough though... some schools don't like it when their students visit b/c they are losing money. So they say you have to have a hardship... each school is different... my school in indiana used to be fine, but starting next year they are making it harder for students to visit.. you have to prove hardship like sick relative...etc...
But the Host schools really don't care.. they like the extra cash without the burden of giving you a degree. Still apply where you want b/c for all intense purposes you are a student there... I got interviews easier from the career simplicity system at villanova... so prospects went up for me b/c I was finally in the area I wanted to work.. It is worth it! Good luck!
PS: Visiting is kinda fun too, you meet new people and get to see how things are at other law schools and compare... Plus you get to be where you want which is always good!