Look out for great lunch deals in that area - it means you can drop by a rather expensive restaurant and have a multi-course lunch for a fraction of what a similar meal might cost in the evening.
Contributors to this forum kindly made up a wonderful list of gourmet bargains a few years ago, but this sort of treasure trove is very difficult to maintain as something relevant and contemporary. Some of the restaurants have since closed or withdrawn their lunch offers, but some are still valid. You might like to enquire at a website such as Chow as the focus is almost purely on food.
I just checked at a place I went not too far from your hotel where I had an amazing Japanese (keiseki) style lunch. 2,100yen won't get you quite as much as it used to, but it's still a great deal (the exact same deal I had is more like 3,675yen now).
In short, for 2,100yen you'll get an affordable lunch in a nice ambience (ask if you can face the kitchen) and a way to sample 7 keiseki dishes. You may not get a sitting if you don't reserve beforehand, your hotel can do it for you once you are in Tokyo, you won't have to reserve very far in advance.
Tea and water will be complimentary with your meal, if you ask for soft drinks or beer etc, you run the risk of doubling or even tripling the cost of your meal. Don't say you weren't warned!
左京ひがしやま Sakyo Higashiyama
http://tabelog.com/tokyo/A1301/A130101/13002259/
http://www.flyertalk.com/forum/japan...t-lunches.html