Free MK8 game data is larger than free space on my Wii U.

I redeemed Pikmin 3 for my Wii U and recieved the download code, only after to realize it need 4000+ free data. My wii u only has 3322, and even if i deleted everything (only being Youtube and MK8) it still wouldnt be enough. Is there anything I can do to either change to a smaller game or to find space some other way?
P.S I have an 8GB hard drive.