Tipi tents are popular with UK bushcrafters. Most are single pole and made from nylon or polycotton if you want to use a firebox or stove and flue.
I've been using a Golite Hex 3 for about three years, great tent, light enough for one to carry; sleeps two in real comfort.
This is a typical Tipi used in the UK
I have wanted one for a while but they are very expensive so I've gone down a cheaper routehttp://www.belltent.co.uk/5_meter_deluxe_version.htm
Not lightweight but I have a chronic knee condition that has put an end to my hiking days so this will be great for me and my son + grand son when he reaches two; even the wife said she would start camping again in it
So, out with the Thermarest and in with a good sized cot bed.
I've slept in a Tipi with a woodburner, they work well but you need to tend the fire once or twice a night so as I'm a 'stovie' I'm using either a Gloys Heatpal or one of a couple of designs of kerosene heaters I have. The kerosene heater will go around ten hours between fills and throws out around 2Kw of heat, perfect for UK winters where (in Wales at least) -10c / 14f is about the lowest we get in winter.
The major drawback for me with the Tipi is the lost usable floor space due to the steep angles of the tent.