That's not really an issue if you get an Ultra Short Throw laser projector and pair it with a high quality UST-optimised (like a lenticular/sawtooth) Ambient Light Rejection screen. A setup would reject something like upto 95% of ambient light, so the screen looks good even in bright rooms.

In saying that, even this setup won't be able to match the deep blacks of a modern OLED TV in bright environments, but if you haven't been spoilt by OLEDs already, then a USTLP + UST-ALR is a really good alternative.