We now realize this space is just right, even though we had to sacrifice a large white dogwood. It is in a sheltered place protected from the wind, and it already had an electrical outlet.
We bought a small electric heater at our church bazaar for $10. It has been just right. It doesn't have an annoying fan--just circulating fluid like an old-fashioned radiator. It has not increased our electric bill very much.
There is also a heat-activated window in the top which opens when the green house gets too warm.