Just select the polygons in the viewport and move them in the Texture Editor, where you want them to be, without the Polygon Bleeding option.
Perhaps I'm ignoring an aspect of the problem here?
As a side note, to avoid any confusion, the Texture Editor, what you see are not polygons, but sample points. If you move the points with the M key, you'll see that each point is in fact several points on top of each other. When you select vertices with the T key in the viewport, you are not selecting sample points. What happens is that the TE selects the samples for each vertex you selected. It's the same with polygons. When you select a polygon in the viewport, the TE will select the corresponding sample points.
To select directly sample points in the viewport, switch to Sample selection filter.
Hope this helps
Salutations - Cheers
Bernard Lebel