Clemens, I appreciate the drawing. The actual patio is 24'x25', so I am looking at multiple supports to avoid going too high dollar on the beams.
At first I was looking at going with tails on two sides but I think I will do something similar to what you drew with tails all around. Doing so will allow me to set it away from the house a few feet, completely free standing and I can raise the height without completely obstructing the windows.
UpNorth, thanks for the offer. I think you would hate to work off of my file though. I only have a rudimentary skill level and I think it would be hard for someone proficient to use my drawing.