My front wheels have rim brakes so I can't comment on shipping disc brake wheels.

But I can say you want to avoid getting any oils on the rotor. If you remove it, I would suggest you not handle it with oily or greasy hands, or even hands with much sweat. Put it in a zip lock bag. The edge of the rotor can be quite sharp, if yours is sharp enough to cut plastic, perhaps putting it in a paper envelope inside a plastic bag for transport.

I do not have hydraulic brakes, so if yours are, you should ask someone that knows more than me how to prep a bike for transport if there is no rotor inside the disc brake unit. You do not want your pads to be too close together to get a rotor back into the unit when you reassemble the bike.

Park Tools videos on youtube are the best source of info on mechanical issues on bikes. Mechanical issues that come up, go there first.

Ask the bike shop that you get the box from if they have the other packing supplies, like the front wheel dropout plastic thingy that keeps the fork from puncturing the bottom of the box, etc.

Just a few days ago, I made a post with several comments on packing up a bike for air transport, that post is here:
Bike Bag vs Bike Box for Air travel?