What schools should I be looking at with a 3.7-3.8 GPA in community college? (Finance/Econ)

I’m a community college student in Ohio and I’m just starting my sophomore year this semester, I only have two clubs I participated in and I worked part-time as well.

Unfortunately I do not have a great high school track record, less than 2.0 GPA iirc, and I haven’t taken my SAT or my ACT. Preferably I’d go to a school that doesn’t require submission of any standardized tests, however I’m open to the idea of taking them if necessary.
Any advice? Thanks.

The Ohio State University requires high school records and SAT/ACT scores only if a transfer applicant has fewer than 30 semester hours (45 quarter hours) of college credit.
http://undergrad.osu.edu/apply/transfer/apply-step-by-step

Get an appointment with the Transfer Advisor at your CC. That person should have lots of useful ideas for you.

Have you “earned a minimum cumulative 2.0 GPA in all attempted coursework”? If so, you could transfer to an OSU regional campus and then move on to main campus or possibly complete a degree depending on campus.
https://osumarion.osu.edu/future-students/transfer-students/requirements/
“ACT/SAT scores (Not required but highly encouraged that students have their scores sent to Ohio State for scholarship considerations)”