How about 200" for less than $300? BTW, the picture is much more clear than the picture I took makes it appear. Yes that's a basketball rim just above the screen. It's a Yaber native 1080p projector and a cheap canvas screen.
I don't recall what size my TV is in the "owners booth" but I think it's 75". It's a Hisense Roku TV I bought two years ago when Wallyworld had TV's on sale. I walked in the store, stood back a ways from all the TV's that were on, saw how much more clear one was than the others, checked the settings on it, and bought it. It was just that much better picture than many of the more expensive TV's they offered. And I think it cost me less than $500 at the time.
Edit:
One thing you want to make sure of is, if you watch sports or movies with a lot of action you want something with a high refresh rate. The Samsung 56" I have in the house has a lower refresh rate than my projector or the Hisense. When a QB throws the ball down field, the ball kind of flickers on screen rather than you being able to watch the ball in the air.