Your credentials for "certified NRA Instructor" should be more than sufficient to qualify you for an OH permit.
The following is from the OHIO Atty Generals CCW Booklet:
Training and Educational Requirements
Training and Competency Certification
Before you obtain a license to carry a concealed handgun, you will
need proof of your competency certification. Competency can be
established by providing one of the following:
A certificate of completion of a firearms safety course that was
offered by or under the auspices of the National Rifle Association
(NRA) containing certain minimum educational requirements; or
wouldnt your instructors credentials prove you know the material?
A certificate of completion of a class that was open to the public
that used instructors approved by the National Rifle Association
or Ohio Peace Officer Training Commission (OPOTC), or approved
instructors of another state and was offered under the authority of
a law enforcement agency of Ohio or another state, a college, or
a firearms training school that contains the minimum educational
requirements; or
A document that shows the applicant is an active or reserve member
of the armed forces, or was honorably discharged within the past six
years, or is a retired highway patrol trooper, or is a retired peace officer
or federal law enforcement officer and who, through the position,
acquired experience with handguns or other firearms that was
equivalent to the minimum educational requirements; or
A certificate of completion of a class not otherwise described in
this publication that was conducted by an instructor who was
certified by an official or entity of Ohio, another state, the United
States government, or the NRA that complies with the minimum
educational requirements; or
An affidavit from a qualified instructor that attests to the applicant’s
completion of a course that satisfied the minimum educational
requirements. (provide your own as a qualified instructor, lol)