Amazon has the renewed Epson EpiqVision Ultra Short Throw LS300 3LCD Smart Laser Projector (Black or White) on sale for $1100 with free shipping. Sits 15 inches from wall for maximum screen size. 

• 3600 lumens, 3LCD Tesh, 1080p Resolution, up to 120 inch screen size
• 2 x HDMI, 1 x USB-A, 2.1 Sound by Yamaha, Android TV OS