You can sleep on your side in most hammocks. At least the ones I have been in: Bayer, Skeeter beater (regular), Grand Trunk Hybrid, Hennessy, JRB Bridge, etc.
The CRITICAL thing in hanging is the sag of the hammock. And this is different for every hammock AND user, so you will likely need to experiment & adjust. A “structural ridgeline” will help with this adjustment. I start out with a ridgeline nearly as long as the hammock*, then tie it to the hammock, & shorten it in 1 – 2 inch increments till I am comfortable**. Each time you shorten the ridgeline you are increasing the sag of your hammock. With the Bayer, tie the ridgeline to the hanging loops at the end of the strings.
For more info on keeping warm, do a search her for: Underquilts, Pads, Quilts, Keeping warm, etc. There is “Tons” of info on that.
FWIW: I slept outside last night in tee & shorts, all night. No quilts, just my hammock sock for keeping the chill off, got down to 68 here in SW OhiO
Also see PM.
*With the Bayer you will have A LOT of stretch, so even once you find the “sweet spot” you may still need to adjust.
** Each adjustment when I was starting was 1” – 2” per night. I now pretty much know what sag I like & can usually make the final adjustment after about 1 – 2 nights, & will / can adjust 1’ – 2’ at a time if need be..
When you have a backpack on, no matter where you are, you’re home.
PAIN is INEVITABLE. MISERY is OPTIONAL.