As noted above, nothing OH-only, but there are several Arf nets across all manner of amateur modes and options currently running weekly.
If we wanted to try something for OH only and coverage across the state, the only options would be an internet linked net such as Echolink/IRLP/Allstar or Digital voice like DMR/YSF/D-star. The main headache with any of that is with so many modes and finding best interoperability with what everyone has, plus the whole relies on internet to work issue. Otherwise, if you have HF we could try a voice or data net with 80-meters being the best likely candidate either early morning or in the evenings.
Outside of arf, there are daily Ohio ARES nets on 80 meters for both SSB and Digital mode use if you want to ever try listening or checking in on those, but that will be any and all hams.
http://ossbn.org/https://arrl-ohio.org/SEC/ohden/index.html