Is there a general thesaurus for conceptual fields?
Solution 1:
I am not sure there is a thesaurus as complete as the one you are looking for.
I like Wordnik, which included lots of examples for each word proposed, as well as related words (and not just synonyms or antonyms).
But the results remain close to the ones found with www.thesaurus.com (thesaurus that you mention in your question).