First option is start cold-calling shops in your acceptable travel range. I have gotten several interviews by calling, getting the manager's email address and sending my resume. Shops don't always advertise an opening (although I have no idea why).
I will also second the idea of approaching your instructor. When I was in school my instructor had worked in industry for around 30 years before getting into teaching, and had a Rolodex stuffed with local contacts. His job placement rate was nearly 100% for students that completed the program, and most had jobs before they were done with school, me included.
Also speak with your classmates, especially the ones ahead of you in the program, and find out if the companies they work for are hiring. Or even not. Some places might not even realize they could use someone until you make yourself available (I won't say this is common, but it's certainly happened).
Be polite, be open to new ideas, be honest about what you know and what you don't know. All the shops I've encountered have a high regard for honesty and willingness to learn. If you get an interview, ask questions! Ask as many as you can; what machine does what, how many processes were used in making parts in their display case (very common for job shops). Think about how you would make them or inspect them, as I have been asked either or both of those questions in interviews.
Also let them know that school is your priority. My first job lasted three days because even after my first shift they were pushing me to stay later hours, which would have jeopardized my education. My (now) wife told me she had never seen me look so haggard. If it's a good place to work, they will respect that decision, and hopefully see the real value in it.
Oh, and good luck! Not in Ohio so can't help much directly.