Custom Post Type and Taxonomy permalinks / templates

Is it possible to create a permalink/template structure like this:

www.example.com/attractions <– post type archive
www.example.com/attractions/museums <– taxonomy archive
www.example.com/attractions/van-gogh-museum <– custom post type

After trying for days I can only get 1 of the 2 combinations to work: either post type + post type archive or taxonomy + taxonomy archive

Not sure what to do next: am I overlooking something, do I need a plugin, should I set this up differently?

I hope some one can point me in the right direction. All suggestions are much appreciated!

(I′ve asked the same question on wordpress.stackexchange.com a while ago. I′ll update both threads if I receive an answer)