The poster above is correct: if you are currently a 2L, most schools do not accept transfers for the 3L final year. Some do offer a visiting student status for 3d year. If any of the schools you are interested offer this, it might be a good option. You will still graduate with your Elon degree.
That being said, you may want to try a slightly alternative route to getting a job...
You already have a registration number, this can make you valuable on its own. You can use this as a backdoor way to an associate position. I know some firms let you work as a patent agent your 3L year, then hire you on as an associate once you pass the bar, paying you as a 2d year associate.
The only problem is that I assume you want to be in Chicago, and I guess Elon's law school is in NC? If that is a route you want to take then it makes more sense to try and finish your last year of school where you want to end up, if you can.