Between my breathing and my back, I can't sleep in a hammock. No back sleeping at all.
This may be the same for me. I have 3 hammocks to try out. We lost last summer to smoke from forest fires so I never got a chance to use them. ENO double (standard "banana" / back sleeping), Warbonnet Ridgerunner (bridge, should allow side sleeping), and Amok Draumr ... apparently a true lay-flat that works for stomach sleepers. I doubt I'll get a chance to try any of them before next summer .. hoping for no fires for a change.
Tom