Technicians have limited privileges on 10 meters. AM and FM are not accessible to technicians. SSB only on 28.300 to 28.500 CW and data on 28.000 to 28.300
I don’t hear much activity on the 10 meters repeaters.
The only 10 meters repeaters I hear from my location is the one in Dallas TX and the one down in Puerto Rico.
10 meters is strange because it involves chordial hops which might be 500 / 1000 / 1500 miles or multiples of those distances.
Coast to coast would sometimes be easier when the band is open then to talk to a local repeater 100 miles away…
I do not know of any active 10 meters repeaters in Ohio, Pennsylvania, New York, or West Virginia.
A technician license should not be a hindrance to using a 10 meter repeater, because a Technician Class License is a starting place, not a stopping place.
It shouldn’t take you more then 2 weeks to read the book and another two weeks to study to upgrade your license if you are a real ham!