At this price range there are no projectors with good blacks, except for refurbished Sony 45ES, or an Epson 5040UB, which are about about $1100.
With any projector, especially those with good blacks, the light reflected off the walls would wash out the dark detail. To mitigate these reflections, besides no lights, the walls would have to be covered in at least a dark colored paint, or fabric.
A great explanation and demonstration here:
https://www.facebook.com/projectiondream/videos/1692721894385217/
https://projectiondream.com/en/contrast-projector-environment/
If the room can't be helped and/or will be used with lights on, a grey or ALR screen is necessary. Even with these screens, a projector with good black levels will be affected in a significant way.
More information here:
https://www.avsforum.com/forum/23-screens/3064376-do-i-need-alr-grey-screen.html
As far as projectors go, the Optoma UHD51A is ok. Keep in mind that some people are sensible to rainbow effect/RBE from projectors with color wheels.
Other options would be LCD projectors (no RBE), such as the Epson you mentioned, or a refurbished 3100/3700. These last two are very bright, and if you have a grey screen you'll be happy with the extra lumens.
The Benq HT3550 is a great unit, has HDR, 4K, ~40-50ms lag, 120Hz at 1080p.
For 1080p the Benq HT2050a with 16ms lag is highly recommended, or a refurbished Viewsonic (40ms lag):https://www.viewsonic.com/us/pro7827hd-s.html
With any projector, especially those with good blacks, the light reflected off the walls would wash out the dark detail. To mitigate these reflections, besides no lights, the walls would have to be covered in at least a dark colored paint, or fabric.
A great explanation and demonstration here:
https://www.facebook.com/projectiondream/videos/1692721894385217/
https://projectiondream.com/en/contrast-projector-environment/
If the room can't be helped and/or will be used with lights on, a grey or ALR screen is necessary. Even with these screens, a projector with good black levels will be affected in a significant way.
More information here:
https://www.avsforum.com/forum/23-screens/3064376-do-i-need-alr-grey-screen.html
As far as projectors go, the Optoma UHD51A is ok. Keep in mind that some people are sensible to rainbow effect/RBE from projectors with color wheels.
Other options would be LCD projectors (no RBE), such as the Epson you mentioned, or a refurbished 3100/3700. These last two are very bright, and if you have a grey screen you'll be happy with the extra lumens.
The Benq HT3550 is a great unit, has HDR, 4K, ~40-50ms lag, 120Hz at 1080p.
For 1080p the Benq HT2050a with 16ms lag is highly recommended, or a refurbished Viewsonic (40ms lag):https://www.viewsonic.com/us/pro7827hd-s.html