The term "resounding no" strikes me as overused. It's one of those terms that has become so commonplace it takes on a wide-spread casual use, standing in where the original would do, except in this case the original is a two letter word. Noes always seem to resound, which, essentially, means they ring out or, rather, are loud. I think what someone means when they say "resounding no" is "emphatic no", or perhaps in some more accurate cases they mean that multiple people said "no" at once, but really what I think people now mean is simply "no".
I looked up "resounding no" (in quotes) on Google and got back 88,500 results. I also looked up "resounding yes" and got back 131,000 results, so, apparently, "resounding yes" is even more overused than it's negative counterpart. Interestingly, "resounding maybe" returned 1440 results and "resounding sorta" 8.
The moral? Everyone is aware that noes and yeses resound and to say as such no longer means anything. In the future I'd suggest choosing a more descriptive and original adjective.
Here are some possible alternatives:
- An emphatic no
- A frustrated no
- An enthusiastic yes
- An echoing no
- A particularly supportive yes
- A trenchant no
- A momentous yes
- A dogmatic no
Or, perhaps, the classics:
- No
- Yes

Although I prefer to hear this alternative:
- A saucy yes
I think my favorite is "echoing no." Would you like some fries with that? Cup hands to mouth and make like a mountaineer: NOOOOO NOOOO NOOO NOO NO No no (no)...