George Washington comes to mind–midsize, great city, business majors, finances not a consideration 
If finances are truly not a consideration, applying early decision to one of those reach schools might result in a nice surprise. Some of those schools love admitting full pay students who they know will attend for sure. Tulane doesn’t have binding early decision, but they do have early action and single choice early action. These both signal that you are clearly interested (and with single choice, most interested) in Tulane. They are huge on demonstrated interest, maybe more so than any other college.
Lehigh will be as much a reach as Tulane. That’s one of those schools where you will likely need to apply early decision. They are also big on demonstrated interest. If you live in the region (which you do) and you do not visit, they will definitely decline admission.
A lot of the suggestions above seem to be much smaller than the medium-size schools OP said were appealing. Some mid-size schools, in cities or nice college towns, good for business, and within academic reach might include Northeastern, Richmond, Delaware, Pitt, Miami (both OH and FL), and James Madison. While smaller than these, and more rural (though under an hour from Boston), hard to find better accounting than Bryant. Glad it’s on your list.
Even for a secular Jew, I think any school named Holy Cross is a nonstarter. Has OP checked out the Jewish B Student thread?