Budget starter projector

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I'd like to set up a very basic home theater in our basement for as little as possible to start, and then work on upgrading from there if it actually gets used. I'm going to start with an Epson Duet screen (~80" diagonal) that I already have, though I'd like to eventually move up to something 120" or more (the wall is 130" wide). The room is really long, 20' plus, so I don't think throw distance should be an issue. Passive 3d would be cool, but is not necessary; active 3d would never be used. So here's my question:

Is there any projector out there worth buying that I could get for around $200-300, new or used? If not, what's the cheapest option worth buying? I don't really know anything about home theater projectors, so thanks for any help