Sheri, the morning of the 23rd, we, along with my folks, will be gone from Tokyo. We will be in Osaka/Kyoto area. I recommend just taking a flight from Narita to KIX or Itami. ANA domestic reservations don't show up in system that far in advance; that is why you are not showing any availability. For March, I am seeing one way fares of as low as 22,000-en or around $190 to Itami. I imagine same with JAL.
edited to add:
Dena, it looks like it won't work out this time for the apartment tour; we will catch up with you in Osaka. If you need additional room to stay, maybe we can leave a key in the flowerpot. :)