I will soon have the dubious pleasure of landing in HND at 5 AM, after an overnight flight that I know from experience won't let me get much sleep. I have a hotel for the night, but check-in time isn't until 3 PM and I can't count on getting a 6/7 AM early checkin.
So I would like to crash in a capsule, cheap business hotel or equivalent, ideally until noon or so. The only problem is, virtually all hotels in Japan have a checkout time of 10 AM sharp, with extensions either impossible or very expensive. This includes the only capsule hotel actually in Haneda, First Cabin, which has both hourly rates and a 3-hour morning package, both ending at 10 AM. Update: They're actually open and accept guests 24/7! The only catch is that they close the showers for cleaning for a few hours at 10 AM.
Any ideas? I'm open to anything between Haneda and a train/monorail line to the city core as well (Kamata, Shinagawa, Hamamatsucho, etc).