I was going to suggest maybe plow down some of the debris. By your description, you're have a certain degree of plow plugging, but just try it with one spot. May work better then u think. I've plow down ( using 2- 14" )some pretty nasty stuff, and the outcome was good for late summer planting, considering. The coulters of the plow give the most trouble.
And yes, LOL, I would definely get Radish planted, somewhere on that property. Their like a deer magnet, pulling power right into late winter. I'm sold on them. Planted about 50 lb. at 8 lb. / acre. Would be ideal to break the ground up. We were seeing deer right through into muzzleloading season.
Working on posting pics for u.