Just curious, why do people go to unaccredited law schools?
Can't speak for the OP, but sometimes one's UG institution starts a law school, or it has a particular mission that you like, or it is state accredited but not ABA accredited (example: Nashville School of Law has never attempted ABA accreditation because it is accredited by the State of Tennessee, which allows its grads to sit for the TN bar- its mission is and has always been to train TN lawyers.) If I knew I wanted to practice in Nashville for the rest of my life and were already located there, sure I'd consider it- your only other feasible option without relocation is Vanderbilt, which is a T1 with a national rep (and completely out of my league) unless I want to drive upwards of 2-4 hours to Louisville, Memphis or Knoxville each week and commute back on weekends.
Drexel is a special case- you're talking about a well-regarded institute of higher learning (the University as a whole) starting what is likely to be a T2 school once it is accredited (T3 with a bullet 1st year in the rankings- Newcomer of the Year, T100 2nd year and it will settle in the mid-T2 until it has some clerks and judges under its belt)- see the Drexel threads on that process (they are gunning for accreditation before their first class graduates, and have the resources and backing to make it happen. OP can comment on this.)
OP: send your app in. The area schools you are applying to will be familiar with Drexel's situation. Include why you went to Drexel in your PS and why you want to transfer. Also might be helpful to say who you turned down to go to Drexel and what's causing your change of heart. Definitely share on-thread too whatever you can- I'm interested to hear, as you are one of the first I've heard of to leave Drexel.
What I don't understand is online law degrees- Kaplan University? Are you kidding me? Anyone care to comment?