Don't give in to temptation and stop too early and blow your nose! Keep going till you have full air flow, only then blow your nose (otherwise the pressure of blowing your nose closes things up again).
After that, consciously keep the nostril on the same side as your headache open, and let the other side close.
The closure is blood vessels in your nose swelling, it's not compacted material. When you exercise your body recognizes the need for more air and reverses the swelling. You don't usually notice, but it's normal to breathe with only one nostril at a time (and the body opens both when there is great demand for air). https://en.wikipedia.org/wiki/Nasal_cycle
Anyway, since there is no actual material compaction, your vibration did not work for the reason you think, rather it acted as a massage for the swollen (irritated) blood vessels.
I think the logical next step is to put a boxing glove on a sawzall.
They make it sound fancier than just vibrations though
But then I found an old Lutron floor dimmer switch in a drawer and it worked perfectly.
The black and decker is a 2 prong plug.
This is seriously an awesome tool / toy.
I’ve seen other massagers for like $700 that are basically the same thing rebranded.
Black & Decker WP900 Buffer
Lutron Credenza Dimmer TT-300
Painful, but effective.
I’ve been in bed sick all day with a terrible cold and my sinuses are packed solid.
I had a headache and so out of bordeum tried using my black and decker buffer to massage my head and relieve my headache (I use the buffer as an awesome massager and modded it with a variable speed switch).
To my surprise it worked on the headache and also liquified my sinuses.
A quick google search turned up a few other people playing with vibrators for congestion and at least one patent.
Funny to come across this after experimenting with getting solids to behave at liquids via vibration all day.