Although I don't get anywhere near 200 tabs, I hit the same type of UI management issue. I use contextualized "sessions" using panorama in Firefox (Ctrl-Shift-E). I have 10-20 tabs per context, and somewhere between 6 and 10 contexts. Between Panorama and TreeStyle tabs (a plugin), everything is neatly organized.

Panorama is a life-saver if you have to context-switch between projects regularly.

TreeStyle, really, I use more as a means to move screen real-estate to horizontal usage on my laptop's 16:9 screen. Tab organization is a side benefit.