Well, yes, you have a bit of a conundrum.
16:10 has never been a video standard. It was pushed, for quite a while, by the PC industry, and is still a very common aspect ratio used by business class projectors. In fact, you will find dozens and dozens of 1920x1200 projectors.
But, to my knowledge, almost none of them are designed for home theater.
This is because there is absolutely ZERO 16:10 aspect ratio video content.
HDTV is the same aspect ratio as every single TV in Best Buy. That's 16:9. PS3, XBox, etc. are all 16:9. At this point, almost every single laptop and every single computer monitor sold is overwhelmingly 16:9 aspect ratio.
There are some oddball exceptions, but reality has caught up with the computer world and 16:10 is more or less... dead.
So, it really depends on what your goal is. If your goal, as you state, is to watch regular television, and get the best quality out of it, then 16:9 is the format is is broadcast in, and 16:9 is the heart of home theater projectors. Home theater models (typically) have better contrast, better motion handling, image processing, black levels, and shadow detail. This is in favor of brightness, which is often the top concern for business class models which must fight ambient light rooms more often.
Why do so many business models still use the 16:10 aspect ratio? Because so many installers used 16:10 screens. A 16:10 projector works on a 16:10 screen, a 16:9 screen, or even a 4:3 screen. So, it covers all the bases with one resolution.
In reality, if you can, you would be much better off reframing your screen setup to 16:9 if you can, because it matches far better.
Now, I'm not sure how the H180X you have worked with the vast majority of content already being in the 16:9 format. I do know that there is basically nothing in the home theater segment which is 16:10.
But, here is the list...https://www.projectorcentral.com/projectors
That's keeping the price under $1,000. As you move up in price you get a ton more options that are available.
The Epson HC1040 would likely be the model I would go with from that list, but I'm not sure you are getting much of an upgrade over the H180X.
And that's another rub.
You are going from entry level to entry level, and while resolution will jump, you aren't going to see almost any improvement in contrast or color which are items which do matter.
The jump to sub $1,000 1080p projectors is massive...https://www.projectorcentral.com/projectors
With the BenQ HT2050a and the Optoma HD27HDR being models which are way up on the list as options.
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