I too am a side sleeper and find the 777 BF seats great for this. While it's still not a true lie-flat bed and there is an ongoing issue of "sliding down" the seat, I've managed to have some great sleep on my side there. I find the BF seats to be extra wide, allowing extra room to curl up and get good sleep.

I've haven't been as lucky on the 767 BF seat, but you will sleep fine on the 777 on your side.