As far as local meets go outside of HS, NASA is your best bet in Ohio for traditionally fair judging by classic rules. Especially if you want to keep your students away from the influence of lifters at meets using steroids. You could take students to either the June or October meets and enter them in HS divisions. They'll have experienced National level judges there who know very well what they're doing.
My advice would be not to feel like you need to put them in too many meets for experience. As long as your coaches are watching their form, making them squat to depth, pause benches, etc. and making sure they open with something they can get for 3-4 reps, they'll be fine with a longer offseason to really build strength. We always ended up fine that way and were quite successful for years in NASA's HS Nats if you'd be interested in going to OKC next year.
Again, see if you can reach out to Pat Frock, Jeff Briner, or OH's chairman Larry Donahue. You can dig up their emails online, or easily contact Larry and Pat via Facebook