I installed a soft top in the cold weather one time and if you’ve ever tried that you know how much the vinyl shrinks. Makes it almost impossible to install.
Put everything together laid the top over the bows and then covered the whole thing with a standard blue tarp. Put 120 V electric room heater in the center of the floor in the back and plugged it in.
Went to work and when I came back the interior temperature was over 75° and the top had fully stretched out.
Worked great!
Of course I was concerned about running a heater all day, but it was fairly new at the time, I ran it on low or medium heat and I had a heavy gauge extension cord. Wasn’t worried about overheating the vehicle or top though, because it was pretty cold outside.