How can I legally do a raffle in the state of Ohio, to raise money to pay for my college expenses?

All gambling is regulated in Ohio. By definition in Ohio, raffle is a form of gambling. Only specific types of organizations are allowed to legally hold raffles and even then there are rules that need to be followed. The short answer is that it is something that an individual can't normally legally do. The longer answer is that you can go to the Ohio Attorney General website and under BINGO there is a free booklet that you can't print-off that explains much of Ohio's gaming laws.

Ironically you could form a non profit corporation, get tax exempt status from the IRS, and then hold raffles to fund scholarships for others; but under state and federal law you can't host a raffle for yourself. Good idea though. Maybe form a non profit then pay yourself a reasonable administrative salary to run it, give away some money and then pay for your education. Of course you could just be successful and skip college.