That model uses a mechanical combination gas/electric thermostat- no electronics at all. It does look like a "will fit" substitute is available, but it *really* takes someone that knows what they are doing to replace it.
I would first unhook the heating element, test for continuity, and hook it directly to 120 volt power- bypassing the all of the controls (of course, this is after checking the basics of venting and power).
If it gets cold then, the problem is in the controls. If it doesn't, the cooling unit is bad.
The part number for the thermostat is 614376MC -
google will give bunches.
-- Chris Bryant