Shooting AVCHD at 60i frame rate from Canon HFG 20. Projecting from laptop to large groups and need the best video quality. I've rendered every way I can with poor quality. WMV seems to yield the best results but nothing compared to the .mts files that come from the camera.
Have you tried to Share+Publish as an AVCHD file, with the H.264 CODEC?
Not sure exactly which media players will play those to your projector, but the free VLC Player, and MediaPlayer Classic HC should both handle those files.
Also, what are the capabilities of the projector - any limitations on the Frame Size?
Your way yielded the best results. The projector resolution is not significant as I could not get a decent render on my monitor. This looks as good as the original shoot. .
So long as the projector can handle the feed from the computer, you should be good to go.