https://www.amazon.com/MLILY-Adjustable-...=8-39&th=1
https://www.amazon.com/Toddler-Pillowcas...=8-31&th=1
The first one looks like a good possibility, as one could leave out one or even both of the flat layers. It would be nice and low, but still have support under your neck, keeping your chin up. If I needed one, this is the one I would probably buy.
The second is very low and might also work. If you put one on top of the other you would again probably have a nice support under your neck to keep your chin up. I'm sure there are many others that might work too.
By the way, I can sleep on my side too with no problem.
I like to shop on Amazon, and many, maybe most items come with free returns. Your computer will show whether free returns are available for you.
Some of these come with small pillowcases. Mine did not, but I learned that if I put the pillow into a standard-size pillowcase face up and with the top of the pillow going horizontally to the bottom of the pillowcase (what is meant to be the side), then folding the remaining fabric under the pillow, it works very well. (I hope that explanation makes sense.)
In any case, I hope this helps someone.
Mask: Bleep DreamPort Sleep Solution