If you are referring to OP wanting to arrive at 2 am with no Disney hotel booked until later in the am, she could just enter any flight info that would put her at an arrival time close to when she wants to board the ME bus. They don't actually stop to confirm your reservation with the airline.
For my idea, if staying deluxe but don't want to add another night at those prices when only occupying it for a couple hours, she could keep her already-planned deluxe reservation, let's say it's a week. Then add another reservation for a 1 night stay at a value resort. These would have 2 reservation numbers. Every reservation has a place to enter ME info or decline it. If she entered flight arrival info for the 7 night reservation, she will receive yellow luggage tags for it and could put those on her bags and it will arrive in her room at their final destination so she doesn't have to retrieve her luggage at baggage claim at 2am. Even if she put the yellow tags on for the value stay, they would not be delivering to their room until later in the am anyway when they would be ready to check out and move to the next hotel. So why bother?
As I started to explain the whole idea in my previous post, it sounded like a PITA and a lot of extra expense when really a hotel stay at the airport would be easiest. The trek to any part of Disney property will take at LEAST 40 mins with ME or she would be paying more OOP for taxi/private ground transfer in addition to the 1 night value stay. For all that extra cost, might as well crash at the Hyatt. Once you try it there, you won't want to deal with offsite shuttles again.

JMHO.