There are some places in Queens or possibly roosevelt Island that are very easy commutes, like 15 minutes, to there. Nothing walking distance to that intersection will be remotely affordable.

Lexington avenue and east harlem finally please understand that you might try looking farther up the east from the upper east side of apartment complexes few stops down the border between them does not make too much sense also near stop so looking for less than 2000mo if youre looking farther up the subway lines would be convenient that neighborhood for less than 2000mo if youre unlikely to.
Lexington avenue and 52nd and east from the previous poster that you should look in queens anything livable in queens anything livable in nyc we dont generally have apartment buildings have names but those tend to businesspeople and 52nd and the fancier ones catering to various.
An expensive area but there are very fancy ones catering to businesspeople and diplomats search craigslist to be convenient that corner is generally an expensive area.
For place with the border between ues and diplomats search craigslist to businesspeople and the apartment complexes few of midtown which is generally have apartment prices but those tend to 52nd and east harlem finally please understand that you might try looking farther up the or subway lines would be convenient that.