The Emerson thermostat for the propane heater that came with our Scamp would heat too much before turning off the heat. Testing showed that there was a huge delay (as in a time constant type of dampening) built into the displayed temperature. The small Scamp interior would heat up 5+ degrees beyond the indicated temperature before the Emerson even showed a 1 degree rise.
The solution was to install a similar thermostat, a Honeywell TH1100DV1000. Cost was about $25. Size and mounting holes are the same, the only difference is that the wiring enters on the left side instead of the right. That's easily remedied with a Dremel tool, or similar. The new Honeywell is programmable in terms of how tight it holds the set temperature, the tightest setting is 6 CPH and that's where I set it. Temperature control is far better now, and furnace run-times are much shorter!
The new Honeywell installed in the original location
Pencil mark for elongating the hole for the wires to enter the back of the new Honeywell thermostat
The original Emerson thermostat