I know there are some that are designed to work at low temperatuers. I have installed a few where I work in some small (about 6x6 feet buildings with water pipes) . There were connected to some 240 volt heaters of around
1500 watts. I don't know what the brand is or where to get them as the purchant department ordered them. I don't know how low the common portable heaters will go. Probably not near low enough to keep the power bill down. Howver one of those thermostats could be put in series with the portable heater.I still think the heat tape and some insulation would be the way to go if possiable. You can buy strips of it with a thermostat already on it that will plug into a 120 volt outlet. Then some insulation and you do not have to heat the whole aea at a big waste of power.