Yes, mea culpa, I am a snorer too. 
I have had consults with a specialist, who wanted to do surgery on my soft palate and uvula (the little dangly thingy in the back of the throat), but… no guarantees, so the wife and I agreed that the pain would not be worth it.
“Sleep on your side” is good advice, but for me, it has to be combined with “keep your face pointing down”. If I sleep (as I often do) on my side but with my face pointing up, or even straight sideways, I snore. Tennis balls won’t change that.
The problem is too much breathing through the mouth. If your mouth is kept closed, you won’t snore. But when you’re asleep, your muscles relax and the jaw opens, allowing mouth breathing to occur.
The nose-opening strips help, in that they maintain a good, open airway nasally, but they’re not enough in themselves to prevent snoring. I’ve had pretty good success with something called the “chin-up strip” that helps to hold the mouth closed during sleep, but is elastic enough to allow coughing, sneezing, or whatever might require using the mouth. They have a website: http://www.impg.medmarket.com/d/dalemiller/dalemiller.htm
As for pinching the nose shut, that’s probably the best way to guarantee that I will snore!
On a parting note, there are multiple tools and appliances that are intended to help curb snoring. I myself have seen dental mouthpieces (like the football mouthguards, but upside-down to restrain the soft palate from movement),
gadgets that are supposed to harness the uvula to keep it from vibrating (gag me with a harness!) :mad: and mouthpieces that jut the lower jaw forward (see Diver’s post above).
Some work better than others, at least for me. I recommend that you try out a couple of these non-surgical alternatives before going under the knife (or putting the Significant Other in that position).
Computers in the future may weigh no more than 15 tons.
-Popular Mechanics, 1949