While doing fieldwork, I spent several years living in a tent with a wood box stove. It's a nice setup, but does have some caveats.
First, putting a woodstove in a synthetic tent means you need to be very careful about sparks, since even a small flying ember will burn a hole in your tent or fly. A tall stovepipe and a screen spark arrestor will help somewhat. You also need some sort of floor protection.
My wood-heated tent was a AAA Springbar canvas tent, much less subject to burn-holes:
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Quite a few river outfitters use these tents. They're easy to set up and give you stand-up room for drying clothes and dressing.
For open-air heating under a fly, the cheaper sort of propane radiant heaters that mount on top of a 20-lb. cylinder are best. For enclosed spaces, the Buddy-type heaters are nice, but you need airflow: low and high vents. I've got both the small one and the larger one, for emergency greenhouse heat when our power goes out.