No its not a good idea to 'use' anyone else for the reasons I stated previously. The controller who is working you is the best placed person to answer all your queries and the declaration of an emergency means that you will be given the utmost priority, In general all other aircraft on the frequency will be sent to a different one so the controller who originally handled you will handle you exclusively.
Other than fixing your position by auto triangulation, given modern IT and communications, there's little more a D&D Controller can do that any other controller cannot. The BIG difference being that the D&D controller exists and is highly trained and skilled (and practiced!) in dealing with emergencies, especially those which pop up out of the blue.
To be blunt (and its happened to me as a D&D man) speaking to anyone else tends to cause confusion and duplication of effort.