Why a tower? Seems to me, a smaller profile heater would be better for storage. We have two electric heaters. One is a smaller electric heater with a temperature thermostat and it oscillates. We us that in the main living area.
Recently, we purchase a very small 1000 watt heater:
We use it in the bathroom to warm it up when needed, and also we run it to help get towels dry. I'm amazed at the amount of heat this very small heater puts out. I haven't tried it yet, but I think it could heat up our main living area as our MH is not that large.
You mention you don't want one with that high of a draw. Search for heaters that have the maximum wattage you want, and consider whether a heater has multiple settings. It's my understanding that the maximum wattage for an electric heater (120k volt) is 1500 watts. So you could look for a 1500 watt heater that has settings for lower wattage and use the lower settings as desired.
Retired but busier than ever!
2012 Newmar Bay Star 3302
5 Star Tune, SumoSprings, Roadmaster Steering Stabilizer, Blue Ox Avail
Brake Buddy, 2015 Chevy Malibu