I have an old Carrier thermostat that I am replacing with a programmable thermostat. I do not wish to destroy the old thermostat getting it off the wall. Any place I can find a blowup of Carrier thermostat components, to allow non-destructive removal?

Not to the best of my knowledge. Most of the thermostats are screwed to the wall. Find the screws and remove them. If it has been on the wall for a long time you might have to pry a bit with a flat blade screw driver because of many coats of paint.

If it's a digital thermostat use a screwdriver or butter knife pry apart on the seem right side of the T-stat. If it's a mercury bulb stat pull out and down on the front cover and then remove the screws on the sub-base.