@Minker17, there are no simple answers because a projector, screen and room environment work together as a system and there are many variables to consider. For example, a bright room is the most difficult environment for video projection because ambient light kills the image. Complicating that is that the larger the screen the dimmer the image because you're spreading the same number of projector lumens over a larger area. So you want the brightest projector you can get to help partially overcome ambient light washing out the image.
You already have a brighter than average room environment for front projection. You already have your projector so you can't get any more lumens out of it than you already are. And you already have an image size (150") that's at the large end of where that projector is capable of producing a satisfactorily bright image in a fairly dark room. All that's left is to find a magic screen material that will compensate for all the other factors working against your system.
In terms of plain matte screens that reflect image light evenly in all directions white will give you the brightest image. But it will also reflect all the ambient light in the room, offsetting the bright image. A plain matte dark grey screen will reduce the amount of ambient light reflected but also reduce the brightness of the image. There might be a very minor improvement in overall image quality due to reducing cross reflections but it still won't be much different than projecting on your plain painted wall.
ALR screens are often called black screens because many of them are dark grey. But they are also specially designed to reject ambient light coming from angles other than where the projector image light is coming from. They also have directional gain so they reflect more image light toward those viewing from near the center of the viewing cone and less toward the sides so those viewing from the side will see a dimmer image. As we've already discussed, a UST projector won't work well with a standard ALR screen and requires one specially designed for UST. I don't believe any 150" models are available.
Given what you already have in terms of projector, room environment and image size there's nothing I'm aware of that's going to give you a great image.