35 to 40 feet in the attic is high for a attic , is this a 3 story house??
At any of the listed antenna heights with a antenna in the attic.
The HD9095P antenna has more signal gain then the CM3022.
Install a , High Gain , Long Range , UHF antenna , a Winegard HD9095P antenna with a Winegard AP8700 preamp aimed at about 284 degree magnetic compass.
Here is how to aim antennas ,
http://www.kyes.com/antenna/pointing.html.
The projector location is one location , will there be any other Tv locations??
Here are some High Quality Digital Broadcast Tv Tuners with and without recording capability to supply signal to the projector.
http://www.epvision.com.
http://www.channelmasterstore.com.
http://www.westerndigital.com.
What inputs does the projector have.
Here are all manner of video and audio adapters.
http://www.ramelectronics.net.
http://sewelldirect.com.
http://www.hdtvsupply.com.