What you described is not anything I am familiar with. The White Oak acorns are hardly ever larger than .50 caliber round ball. My guess is that it may be a Hickory nut that is still in its husk. That would be near golf ball size. Shag Bark Hickory (that's Scaley bark in the South, y'all) could even be larger with the husk on, but out of the husk much smaller. A Walnut could be that large, but they wouldn't be food for deer, the shell is extremely hard.

Russ