I've heard of people who have done this for their need for additional size due to poor eyesight, but not as a pure replacement. Certainly a projector will present itself as a reflective technology for light vs. direct view as you get with LCD flat panels which can help.

1920x1080 or 1920x1200 are common resolutions of projectors and either will be good with a laptop, but it's important to remember that most projectors are designed for 100" screens or larger. Often much larger. So, you will want something that balances light output for your smaller screen size.

This may work out very well in the world of LED Pico projectors which aren't as bright, but can last for years without the need to change a lamp and can be more portable. They rarely are really quiet due to the smaller/whinier fans in use.

So, while you may think 2,000 lumens or more is what you need, in reality, in a normally lit room, you only need about 50 lumens per square foot for a decent image. Maybe 80 lumens to really get some punch. A 50" diagonal image is about 8 square feet. So, that's about 400-640 lumens for typical use. Make the image smaller, the image will be brighter. Make it larger, the image will be dimmer.

So, from this list:
https://www.projectorcentral.com/projectors.cfm?g=1&hide=0&st=1&exp1=1&r=13&br=&c=&w=&db=&ar=&zr=&wt=<g=101&ll=&wr=&dt=&mfg=&p=&t=&pjl=0&pjw=0&pjh=0&td=&is=&i=d&tr=&tr2=&exp5=1&oop=2&sort=%24&sz=15#top

There are a number of brands which I would avoid (the cheapest) and many which are decent. Some of which you haven't heard of, but are still decent brands.
AAXA, JmGO, XGimi are of decent quality with good optics.
LG, Vivitek, Viewsonic, and Acer are national brands in the USA which have reasonable/good support in the states.

I would avoid Vankyo or Anker or the cheapest of the brands. Their lumen claims are often outrageous lies and their optics are typically very poor. They are barely more than toys.