not controllable
Having bought some hunting property in Illinois a few years I can tell that positively I would never introduce an invasive plant species onto my turkey and deer land. I've had to spend over $5000 and busting my ass so far just trying to keep bush honeysuckle, japanese honeysuckle, and multifloral rose under control (you can never eliminate them). Had a forest management plan done and was recommended to burn off 10 acres of Mississippi Riverf bluff for a 5 year period just to get it under control.
Raspberries will be long gone before hunting season and you'll be left with brush. Every berry seed that will be eaten by birds, raccoons, deer, etc. will be carried with them and crapped out somewhere on your property or your neighbors. Not a good idea and you'll regret it. Better off planting lidano clover which deer love, only requires some spraying every year and the deer love it, it's very digestible, and promotes growth. If it spreads that's even better.
Just my opinion.