A couple years ago I sucessfully incubated 11 alligator lizard eggs that all hatched into healthy babies. For incubation I used advice from alicenwl which was to put the eggs in a tupperware with a 1:1 ratio of water and vermiculite by weight. Every couple of days I would open the container and let it air out for a few minutes but other than that I kept it sealed and in a fiarly temperature stable drawer in my room. I did not use lights or heaters, but just kept the room at a regular warm temperature.
I hope this helps, and good luck!
~Linz