“The camera was set at 48kHz/24-bit, as was the H4N.” <—- That is what I MEAN. 48 kHz/24 bit was the setting on the H4N.
Below is a screenshot of the audio settings, notice the TC Rate is 24 here:

And these are the settings of my VIDEO, the TC Rate is 25 here:

At the 1 minute mark it begins to drift slightly, and then is about 7 seconds off by the end of the 13 minute clip. I’m not sure how else to describe this to you.
I am not shooting with a DSLR, I shot on a Canon C100. The Canon was bought in Australia and the settings cannot be changed to shoot in 24 fps or any other NTSC format. I have not tried to sync audio with this camera previously.