I have found that once I've performed a search and begun analyzing a passage, the search window becomes almost useless real estate until my next search. I would love to have the option to turn it into a hoover context window during the analysis phase. hovering over a cross reference or single verse in the analysis window would display the context of the verse (either starting at the pericope or placing the hovered verse in the middle of the window.) Once you stopped hovering over a verse the search window would return to the search results.
I know its not the best time for new ideas, but I thought I would throw it out there anyway. Someone might know of a way to accomplish something similar right now! I tried two browse windows and that worked well enough, but sometimes I would forget to select my second browse window after working in my first and my first ended up getting changed on me. Certainly not the end of the world.