I would like something that is controlled both by IR and in wall button.

I would like to know what models, brands, finishes, etc... that you recommend?
What have you used in the past that has not or has worked?

Here are some 4:3 https://www.projectorscreen.com/projector-screens/format/video-4to3

I'd recommend going with either a Stewart or a Screen innovations projector screen as they're much higher quality.

Because you'll be using it in a sports bar with more ambient light I'd recommend getting a screen with a higher gain so it will reflect more of the light from the projector.

I'd probably also suggest getting a white projector screen as they'll also reflect more light.

When DLP first started many years ago it was RGB or RGBW. This worked fine but the color wheel speed wasn’t high enough and a small percentage of viewers saw what was called rainbows. It happens when you dart your eyes across the screen rapidly and you get a flash of red blue green rather than them mixing to make the color it is supposed to be. Only the RGB make colors and they added the W to boast the lumen output for business type projection (power-point) where a lot of white is needed because the room is not dark enough. So it was brightness at the penalty of loss of color. Though you should do your own research on [Link: gagadget.com]