That would seem to be enough to get an XGA-resolution digital projector in the 1000 lumen or more range. We could help you better if you shared some information about your video sources, screen (size, aspect ratio and fabric gain), and whether or not you have good ambient light control.
It should be possible to get something that is bright enough to tolerate some lighting such as a reading lamp. However, if your dream is to open all the windows and watch TV in a sunlit room, better shop for a direct-view CRT (36" max in your budget). You will also have to contend with the fact that digital projectors tend to have longer throws, and thus will be mounted further away from your screen.
Gary
It should be possible to get something that is bright enough to tolerate some lighting such as a reading lamp. However, if your dream is to open all the windows and watch TV in a sunlit room, better shop for a direct-view CRT (36" max in your budget). You will also have to contend with the fact that digital projectors tend to have longer throws, and thus will be mounted further away from your screen.
Gary