I too like to side sleep and the BMBH definitely gives you more of a side wall to support your backside. I found I was only really comfortable while sleeping on my back in a RR and I had problems making it through the night like that.
Like you, I found the length needed between trees problematic with the RR. In the end I just decided that there were too many nuances associated with bridge hammocks. .spreader bars, larger wider tarps, weight- and went back to gathered end. I find they support me fairly well in a semi side sleeping position.
Who knows, I may try out another bridge at some point, the testing and experimenting is half the fun for me.