I'm looking for a layer with every road in the state of Ohio in order to create drive-time polygons. I'm not familiar with Ohio data sources. Could anyone point me in the direction of a shapefile with all roads in Ohio, or even all roads in the Cleveland area?
The US Census Bureau is a source of this data and may be found here. Just select Roads and then Ohio, and road type and you will be able to download the shapefiles.
The state government provides a dataset with all roads, and even includes speed limit as an attribute: https://gis.dot.state.oh.us/tims/Data/Download
If the census data is too old, you might be able to fill in from the state's resources. http://www.dot.state.oh.us/districts/D01/PlanningPrograms/gis/Pages/default.aspx