I don't think the Bridge Tool will give you quite the level of control you want (or maybe don't know you want).

In this case I would use a Curve object, but I realize that that's a bit of a change from the work-flow you have in Maya. A script can be written to prepare a curve object using the median and normal of two arbitrarily angled polygons, then all you do is tweak the width of the curve, the number of subdivisions ( or custom profile shape ), and convert to mesh, and joint into the current mesh.

I've [part of the script written already](https://gist.github.com/zeffii/6955fe8030f2945a155f), but will return later with the full code or add-on version.