Screen paint and wall color - white (the screen wall was painted first and the paint for the rest of the room matched in color
Room length approx 5 meters (17 feet).
Seating distance up to the room length.
wall used as screen approx 5x2.7 meter (16 by 9 feet).
Light comes from left side - a wall that is more than half windows.
Difficult to install projector on ceiling.
No chance to paint walls in different colors.
Blackout blinds (actually drapes ) can be installed if they lead to big difference. But the idea is to be able to use the projector also as TV during the day. The blinds would be used only for better cinema experience.
But is this info necessary just to give an opinion which projector would be the best for these conditions?
Is the amount of good projectors to choose from so big?
Not only is the amount of projectors not big enough, one that fits your requirements doesn't exist.
Per the ratio mentioned above, with the current setup the general screen size would be from 160" to 198".
That wall can have a screen up to 225" diagonal (16:9) format.
These might seem like large dimensions, but choosing a small screen is one of the major mistakes first time projectors users make.
I already explained above why ambient light and projectors don't work. If you want to watch without blackout blinds, move the seating closer (a lot closer) and get a TV. Projector based setups are for dark environments.
If you want to see how a projector + ALR screen behaves in different light scenarios here are a few examples:
www.avsforum.com
What's noticeable is that images that are bright do better, but as soon as the image has some dark parts in it, it falls apart.
The white paper will behave similarly to a white/grey matte screen. Angular ALR screens like the one in the link work like a mirror, reflecting some of the ambient light in the other direction from which it came.
But angular ALR screens require the projector to be placed in a position that the light going out from the projector hits the screen at such an angle that it reaches the viewers position. A ceiling setup is preferable. You also can't put it on the side.
Angular ALR screens also must be placed at a certain distance from the screen to avoid visual artifacts. The hotspot (center more bright then the edges) visible in some of the bright pictures in the link above is due to the projector being too close.
Usually 1.9x throw ratio (screen width) is required for most, some (which are more expensive) can do ~1.5-1.6x.
If the total length of the distance between a projector installed in the ceiling as close to the wall as possible, and the screen is ~450cm, then the largest ALR screen without artifacts could be ~106" or 131" diagonal (with the better fabric).
An 131" screen in an ALR fabric that would not cause artifacts at ~1.5x will probably go over 5$K.
Proper paint mixes exist with good ALR properties and don't cost that much.
Angular ALR screens can have reduced brightness the further away from the center axis it's being viewed. For example a screen with a half angle of 40 degrees means that at 40 degrees the image is half as bright as when viewed from the center.
Half angles can be both vertical and horizontal. The smaller the half angle, the better the light fighting capabilities.
There are projectors with lens shift, but I don't know if the lens shift is enough for your setup. For instance, the TW9400:
Find screen size and throw distance for the Epson Europe EH-TW9400 projector.
www.projectorcentral.com
At the bottom of the page, after inputting the screen diagonal there is a section called lens shift. Note that if both vertical and horizontal lens shift are used at the same time then the lens shift is limited.
If the walls can't be painted try a curtain system like in the facebook video. If not the blacks will be mediocre at best.
These are the limitations of a projection based setup.