Would I be considered out of state for this college?

It may depend on who is paying. Generally speaking, if your parents are paying for your college, you are considered a legal resident of the state in which your parents pay state income tax. If you are financially independent, you would be a resident of the state in which you live, work, have a driver's license and pay taxes.

"To be considered a Kansas resident for tuition purposes, you need to meet the following criteria for 12 months prior to the academic term for which you want to be classified as a resident:

You must reside in Kansas continuously for the 12 months prior to the academic term for which residency is being requested, with the intent to make Kansas your permanent home.
You must rely on Kansas sources of income for your financial support.
You must establish ties with Kansas to demonstrate your intent to become a Kansas resident. These ties include but are not limited to the following: full-time employment in Kansas, filing Kansas resident taxes, registering to vote in Kansas, obtaining a Kansas driver's license and registering your vehicle in Kansas.
If you are a dependent of your parents and they live in another state, you will be considered a resident of the state in which your parents reside."

You have to move back. You can't be living in Ohio.

As long as you move back to Kansas within 5 yrs of leaving they let you count as a resident.
http://www.k-state.edu/undergradadmit/inandoutstatetution.html