I thought I'd tell those interested how my first hangs were.
I was in a nice camp site with a new Hennessy Hyperlite Classic Asym and slept my first night with just a sleeping bag inside the hammock. I woke up with frozen shoulders, lower back and buttocks. That with snoring neighbours I did not have a good night sleep at all. It was around 58F that night.
I started my second night better prepared. I had ear plugs and put a Thermarest mattress rated at 2.5 right in the hammock and my sleeping bag. I woke up because I was too hot. It was around 65F that night. I got rid of the sleeping bag and took just a small wool blanket instead and had the best night sleep in ages.
I'm definitely going to be hanging some more in the coming weeks.