Do a little googling about Kaplan and you will find many gripes about people feeling misled about the school being accredited. Kaplan is nationally accredited, however it offers courses that are not accepted by many programs. There is a difference between being nationally accredited and regionally accredited. in short, Kaplan has a lower standard that many schools will not recognize.
From what I can tell you won't find an online law school in Ohio. You should take whatever documentation you have of the individual courses you took at Kaplan and visit an admissions counselor at any locally convenient law school to see where you stand.
you might find it much more financially feasible to uproot yourself from Ohio and find a school in another state that will allow you to proceed without repeating courses.