I also have a garage that faces east. I called the Solar Guys. I had them install three things. First I had the garage door insulated. Second, I had has their Solatube garage ventilation system. Third I had two Solas Star Attic Fans. The fans come in two sizes. Based on the size of my home, I had two of the large models installed.
The Solatube is great. The amount of air coming through the vents in the door is unbelievable .
If you would like to see mine, send me a PM. or go to their web page:
Solar Attic Fans & Solar Ventilation Experts | Central FL - The Solar Guys