I would opt for the LG PF1500. It has a LED based light engine which will last you for years and years. It is a full 1080p model which competes nicely with other projectors. The brightness is enough for up to a 120" image in a dark room. The size is extremely portable - about 4x4x10 inches. It has built in streaming and wireless connectivity along with USB playback and an integrated tuner. The internal speaker is weak, but can be paired with Bluetooth speakers, or with any external speakers. The price at just under $1,000 fits the budget as well.
This will be a solid unit to move around from dorm to dorm, can be positioned somewhat easily, and really meets your needs.
The placement can be a bit of a trick if you have specific requirements. It has both a tripod mount and a full projector mount option, but it has extremely limited zoom range and no lens shift. The lens must be even with the top edge of the screen or the bottom edge. So, high on top of a bookshelf, upside down, or lower on a table right side up. It needs about a foot of throw distance for each 10" of diagonal. So a 80" image will be about 8' away (lens to screen). It also is decently bright in a DARK room, but won't be appear bright in a brighter room. So, during the day, 60" or so, somewhat washed out, will be what you should expect.
This is still way better than lugging a 50" TV around, or settling for a 32" display.
The LG PF1500 is an extremely unique product in the world of projectors right now.