I have to agree with "don't use the governor for production decisions". At the least I set up a long building queue. "Here, build a Theater, a Granary, a Library and a Market. That should take you several hundred years, Get back to me when you're done."
I used to have a fairly long queue saved in the control number set ups they let you have. However, as Unique Buildings have multiplied, I find I have to build a new pre-scripted list for nearly every game. Still it can be useful if you are doing a lot of conquering and end up with low production cities in the process.