On what grounds do you base that answer? Has any state ever done this type of thing...particularly recently?
go to
http://jurist.org/forum/2012/11/victor-williams-electoral-college.php
for a scholarly discussion.
Orginaly all States cast their electors this way, it was not until around 1830 that most states had opted for some kind of popular vote based system for selecting their electors.
I know South Carolina continued to select their electors in their legislator until they were forced to create a new constitution after the “civil war”.
It depends upon the Constitution of Ohio but otherwise having their leglsator select the electors would be completely legal and not at all unprecedented.
Indeed I recall reading about it happening before even cases where there was a popular vote.