CincyBurner
Minister of Fire
It seems best distinguishing characteristic will be the leaf shape. Post oak has a characteristic cruciform shape.This fit the bill for post oak? And not white oak? All leaf signs point to white oak
Pics of your leaves don't have characteristic post oak appearance but don't look like typical straight white oak either.
Bark is supposed to be more flakey for straight oak , but getting more blocky with age. Post oak is supposed to be more blocky. ID from bark alone can be deceptive.
Both post oak and white oak are in 'white oak' group and both should burn same.