IMO you need to get past this and a gadget is not the answer. It would also seem to be an impediment to performing a Valsalva maneuver to equalize your ears.
The truth of the matter is that you could have you mask dislodged at any time. Masks may leak as you laugh, cough, frown, get air in your hood or make a contortion. A wet nose from time to time is just part of the game.
Trouble starts when multiple things go wrong and letting this become a high stress situation is not a good thing to be dealing with.
Now I'm not saying you are doing anything wrong or did anything wrong. However I might say that your OW instructor did not completely guide you through your adaptation. Coming here looking for a path to comfort was a smart move.
Many aspects of diving are alien to humans. Sustained oral breathing, breathing with your face underwater and breathing when water is lapping at your nostrils are all things we have been bred and raised to interpret as alarming conditions.
Get in some safe water, like a nice warm bathtub and spend some time with a flooded mask, with no mask, all while breathing from your snorkel. Transition to a pool and eventually open water. You will be amazed how progressively challenging yourself in envionments that you are comfortale in will let you adapt.
It wasn't that long ago that I had a life long fear of opening my exposed eyes underwater. I now find it relaxing and I got there in the same way I am suggesting.
Spending some time skin-diving is also a great way to get accustomed to these sensations without the limits and risks of scuba-diving.
Good luck and let us know how you make out.
Pete