I did the same thing, at my PT's suggestion, and it's really helpful. I put the little pillow roll at the bottom of a flat "normal" pillow.
The one I bought is here: https://www.amazon.com/gp/product/B07L8RQTGB/ref=ppx_yo_dt_b_asin_title_o08_s00?ie=UTF8&psc=1
However, the trick with these pillows is to get the right size. The idea is to find out the size of pillow that will put your neck in a neural position.
A lot of them come in 4" diameter but I needed a smaller one (3.5"). The best way to figure out what size will align your neck is to take a bath towel and roll it up tight. Then use it like a pillow roll, and see if your neck is aligned when you lay on your side with roll + bed pillow. If the towel roll feels like it's pushing your neck upward, try unrolling it a bit. Once you have a size that feels comfy, use a ruler to measure the diameter of the towel roll. That should give you the approximate size you need.
I would not recommend sleeping in a neck brace unless you have the explicit ok from an EDS-aware doctor. We (with EDS) depend on our muscles to compensate for our loose ligaments. Wearing a brace can weaken the neck muscles, which will only make your situation worse. Even when I'm having painful neck spasms, my expert EDS PT won't let me wear a soft collar for more than an hour or two.
I started using a roll pillow while sleeping on my back
https://www.amazon.com/dp/B07L8RQTGB?psc=1&ref=ppx_yo2_dt_b_product_details
Helps out a lot!