Keep in mind that you may also need some money for a projector stand and possibly longer HDMI / Audio cables (to go to/from your Blu Ray player, speakers, and the projector).
I think your best bet is going to be the native 720p projectors (1280 x 800) Chinese "white box" projectors. There seems to be 3 manufacturers that have them sold under various names. There's the GP 100, the CL 760, and another one I've forgotten about. (Uh...when are these guys going to make some native 1080p projectors? Sooner rather than later, I hope.)
I picked up a CL 760 for about $91 shipped some time ago (with the assistance of a 5% cash back for Amazon charges deal from a credit card) and I've been pretty happy with it but it has its shortcomings. I would characterize it as a low light projector; it does best in a dark room and in the day time you would need to close all window shades. I project an image about 130 inches diagonal across onto my living room wall (just a plain light cream painted wall with an "orange peel" finish) and I feel that I can notice the 720p resolution. It's fine for my purposes, but it would be nice if the resolution and sharpness were higher, but I cannot possibly complain for the $91 shipped that I paid.
I have and like this:
I took off the wheels and the second tray. The front supports slide right under the couch. The couch can go back to about 14 inches away from the wall that way.
Two other things to think about: (1) What are you going to project on? Are you planning to project onto a painted wall or do you want to get an actual screen? (It will look much better with a screen, of course.) (2) Where are you putting the projector? Are you going to hang it from the ceiling or use a stand of some sort?
I project onto a plain, beige painted wall that's about 14' high and have my projector sitting on this stand
Try this, it's what I just bought for my standard throw projector. https://www.amazon.com/dp/B06X9CBY6Y/ref=cm_sw_r_awdo_M645J99PKA11ZAD0NA1Q
You could also get a tripod. I'm using one of these. I have a strap around the projector to secure it.