This claims 300 inches and native 1080P for around 100 bucks.
VANKYO Performance V600 Projector 300" Display Native 1080P LED Projector HDMI-compatible Projector Support TV Stick HDMI-compatible VGA USB Laptop iOS Android. VANKYO Performance VF600MQ Projector, contrast ratio of 5000:1.
www.ebay.com
You have to watch because a lot of them are 720p but will [support] 1080p. That means that it down-converts. The other thing is, you gotta the ones that claim some ridiculous amount of lumens but only make like a 200" image. Well, that's because it's not bright enough.
Oh, and stay away from the [mini] projectors unless you get to see it in person first. Some really amazing but most are junk.