IIRC you were looking for 1080p projector? If that's true then there are quality projectors to be had used for under $1k which could get this closer to budget with a retractable screen.
In the 70" range a flat panel is going to be the better choice. Just need to keep in mind 70" could be too small for a good experience in a 2nd row of seats.
9.5 feet Maximum recommended SMPTE viewing distance (30 degree viewing angle)
11 feet Maximum THX viewing distance (26 degree viewing angle)
7.8 feet Recommended THX viewing distance (36 degree viewing angle)
(Source https://myhometheater.homestead.com/viewingdistancecalculator.html)
That would be a serious hiccup. Is your experience with tensioned screens?Someone someplace has probably had a good experience with a retractable screen. Not sure where though. They always seem to end up curling on the edges and for their price, they shouldn’t. If you go with a pj, I’d skip the flat panel behind the screen and just used a fixed screen.
In the 70" range a flat panel is going to be the better choice. Just need to keep in mind 70" could be too small for a good experience in a 2nd row of seats.
9.5 feet Maximum recommended SMPTE viewing distance (30 degree viewing angle)
11 feet Maximum THX viewing distance (26 degree viewing angle)
7.8 feet Recommended THX viewing distance (36 degree viewing angle)
(Source https://myhometheater.homestead.com/viewingdistancecalculator.html)