looking for Latex editor with good structure tree layout view that can handle verbatim

TeXstudio is a very good IDE that has this feature, it is also based of TeXmaker so there shouldn't be much of a learning curve.

WinEdt 8 is able to handle verbatim stuff, as you can see in the following image:

Note also that there is not any folding node corresponding to \chapter{some chapter}.

Additional environments provided by the packages listings, moreverb, verbatim, and fancyvrb are supported if you install the add-on VerbatimPlus.