Mrbill,
I have a 1 acre pond as well and if I had to choose which of these 2 options to use I would try the solar first. Neither are 100 percent reliable. I don't know much about solar but I do know that you don't have to have direct sunlight at least for it to work for you. Where as if you don't have any wind your in big trouble!! Here is a post from AP about solar air. Maybe it will help you.
"As far as solar aeration your probably gonna need some deep cycle batteries, power inverter, and 2 or 3 solar units like these to power your air pump especially if you want to aerate at night to keep D.O. up and help cool the pond in the summer.
http://www.harborfreight.com/45-watt-solar-panel-kit-90599.html