The 52ALV does not have 3500 lumens, real brightness depends on the mode used.
Here is a review of the 51ALV which is "rated" at 3000 lumens, with lumen measurements:
The brightest mode, Bright, has a green tint as many other projectors do.
Brighter projectors are available, such as the Epson TW7100 (EU)/HC3800 (US).
Review with lumen measurements for the previous generation Epson, HC3700:
The kind of screen you're referring to are called ALR (Ambient light rejecting).
There are several types, here are two articles with details:
Both angular and retro reflective ALR's cannot be used with UST or short throw projectors. Minimum recommended distance for many brands is x1.5 the width of the image (throw) or higher.
The Optoma's 52ALV throw range is x1.21 – 1.59. The Epson TW7100 throw range is x1.32 - 2.15:1.
However, projectors are not TV's and, with some exceptions, are not suitable for daytime viewing with lots of ambient light.
No matter what projector + screen setup is used, if there is too much light in the room the image will be too washed out. Especially the dark parts.
With an ALR the bright parts will loose less detail than the dark parts, but still unacceptable for general use. The only thing an ALR screen setup with lots of light in the room ca be used for is broadcasts that you don't care that much about the loss of quality, such as sports,day time TV, or a very bright cartoon/game (i.e. Rocket League).
Getting a curtain/blinds that block the light is a start.
With light from windows blocked, dimmed lights, and strategically placed lights that do not hit the screen directly things can be improved. Some are fine with this result, others aren't.
Long throw ALR farbrics can display hotstpots/sparkle under certain conditions: projector is too bright, too close, brightness of the projected image, quality of the fabric.
Long throw ALR's are different from UST ALR's.
UST ALR's should not have a hotspot/sparkle and have good viewing cone (except for Fresnel type fabric).
In the EU there are companies that sell ALR, Elite Screens, Hivilux, and others.
What type of space is the projector/screen setup going to be used for? Is it a media room, commercial space?
What type of material will the setup be used for, movies, games?
Is 4K required?
What are the room dimensions?
What is the source of the lights?
What is the budget?