If you are looking to jus have another rifle for hunting whitetails I recommond many of the great muzzle loaders on the market today. I myself like the 50cals as componets can be found for them just about any where from the big city box stores to mom and pops ye old black powder & gun shop.
The 308 is plenty of caliber for deer. I load mine with IMR 3031 powder with a Speer 150gr. mag tip bullet. I also like the 165gr Serria game king hollow point boat tails.
Isn't Ohio a no rifle deer hunting zone?