I'm not sure what you mean by nasal pinch. That pickup spot is a little nasal by nature. I suppose you would be looking for a darker pickup that would minimize the mid honk that is characteristic of Jazz Bass bridge pickups.
In my experience, the pickups that do that well and have a following are the Nordstrom nj4se, the Dimarzio model J, and Bartolini 9j1 bridge pickups. There are other types of pickups that would serve your purpose I am sure, but these are the ones I am familiar with.