35# is a good weight.
There are many things you can do with the fish. Eating them is always an option. I just made some stir-fried gar with curry powder. (yummy... really!) Gar are good, worth the effort of cleaning them. Bighead and Silver are supposed to be very good too. I'm not a big fan of common carp unless they are smoked. Smoked cold water carp are excellent. (carp out of warmed-up water start to taste kind of muddy)
Sometimes you'll find bank fishermen that will take your extra fish. If you know of a mink or turtle farmer, they are usually happy for the free fish. Then, there's always the fertilizer aspect. It's indirect consumption. Plant a carp, plant a tomato plant over it.... then eat the tomatoes. (your friends and neighbors will wonder how you grow such big veggies)
Farmers will also often take the fish and put them in their fields for fertilizer.