I would recommend a hotel in Shinjuku instead.
Look at the Keio Plaza or the Hyatt Regency;
I prefer the first one - it has some nice restaurants inside and the service is impecable. Splurge and get one of the Premier rooms
It is livelier and has more action at night.
It is a quick 15 minute subway ride to Ginza

With the exchange rate and the cost in Tokyo, most things in Japan are cheaper in the US.