I do belive it can be done with CadTools. If you provide me with some data I'll try to generate some contours. There seems to be something odd with your coordinates, the distance between points are small? Do you have the noise data in any other format, in real coordinates?
The workflow you described is correct. The idea is to create a surface with noise level as elevation and then create contours.
Another problem with your data is that it's in MText, there's a bug in CadTools. This can be solved by exporting the data to Excel and then draw them back as points (booth these commands are included in CadTools).
I've uploaded Build 686 that fixes the bug in the triangulation option "Use text string as eleveation" if you use MText. And Build 687 that fixes some issues with gaps in the contours.
Download the update and use it on your data.
Attached file include some contours that I generated based on your data (moved to Model Space and splined with AutoCAD)
/Lars