I just looked up Limo Bus to Andaz. There's none that goes straight to Andaz that'll work out for you.

However, you'll have multiple options.
* Limo Bus to TCAT, then taxi.
* Skyliner to Keisei Ueno station, then a fairly short transfer to Ginza line subway to Toranomon, then walk.
* Narita Express to Tokyo station, then taxi.

The last Narita Express departure is 9.44pm, but you have a good chance of making it if your flight's on time and you don't faff around too much. You may even have time to get your gaijin 4000y return discount, although that may be pushing it.

I've arrived in NRT around that time frame quite a few times, and I don't think I've ever had problems with getting to Tokyo. And no, I never use taxi's from NRT.