Can you distract the kids enough while you hand the stockings (in a bag or something) to someone at the front desk? And then you guys take your time going up to your room while the front desk sets them up in there for you?
I like the idea of having them at the hotel better. Would it be possible to have either you or H sneak up to the room and put them in there while everyone else is gathering luggage?
I would give them the stockings early and tell them Santa knew you weren't going to be home on 12/25.
This.
My parents divorced when I was 3. I did Christmas eve at my dad's house and I got santa gifts there too. I believed that Santa dropped things off a day early.
I wouldn't do it in the plane. What if there's another kid in the row behind you who turns to her/his parent and is all "Why didn't Santa deliver my stocking to the plane?" I'd hate to be that parent.