Tough to get any plot to its potential in a shady wooded situation. I'd probably try white clover as it's about the simplest stuff to work with and get going. You can get 3-4 years out of it before the grass takes over generally too.
Any local CO-OP or seed dealer can get this and other plot seeds for you. If you prefer mail order, Seedland.com has whatever you need. My go to food plots are white clover, soybeans and purple top turnips.