Neither school is a tech powerhouse by tradition, but they both do pretty well. Stern does have more of a finance focus as you mention. If you are picking based on program content and prestige, I would recommend Kellogg. Keep in mind, however, your future regional preferences. Since you are in NY, if you want to stay in NY after school you would have stronger connections going to Stern than Kellogg. Plenty of people move from Chicago back to NY, the recruiting process would just involve more legwork on your end.
Most in your situation would pick Kellogg.
Good luck!