Most community colleges have open enrollment or if you do not meet the basic admission criteria will admit you conditionally and work with you through remedial courses until you are able to study at the college level. Ohio has a very strong community college network that works to establish transferable credits to the public universities in Ohio. Columbus State pioneered this system decades ago working with Ohio State and it has really made higher education accessible and affordable across the state. If you know which university you plan to finish your degree, be sure any courses you take will be accepted for credit there.
Ohio Community Colleges take OOS students, though they pay more than in state students:
http://www.cscc.edu/academics/tuition-fees/
Columbus State admission info/scores needed:
http://www.cscc.edu/admissions/placement-testing/need-placement.shtml
University of Toledo offers good OOS and OOS transfer scholarships:
http://www.utoledo.edu/
Do some basic research online based on what states you are interested in and read through the admission requirements, courses available and the process of transferring to university so you can plan ahead accordingly.