storing kiln dried white and red oak outside

[stevo wis]

Hey folks,
I have a couple of stacks of white oak and one red oak that are coming out of a kiln. I don't have any more room to store it inside.
Is it going to destroy it if I stack it off the ground and tarp it? I live in Wis and it gets humid here, and most store it inside of course, but the humidity gets to it there as well. Any advice would be much appreciated.
thanks,
Stevo

Folks,
I got about half of the white oak inside and have a stack of 1/3 white and 2/3 red outside under cover. I will be starting on my white oak kitchen soon and will deplete things.
Thanks for all your responses,
Stevo