When I was on WW, I never went over my points. I calorie count now, but it's a similar plan when you take into account macro nutrients.
For Chinese takeout/eat in, there is a diet menu almost everywhere I've been. It's just plain steamed vegetables and a protein of choice with sauce on the side. If there isn't, they will cook it if you ask.
Steamed chicken and broccoli has always been my favorite. At about 140 calories/cup, it's a great choice!
You can control how much of the sauce you use on your food. Pair it with 1/2 cup of white rice, and you have a great meal. If you drizzle a little sauce, it's usually not more than another 50 calories, resulting in a filling under-300 calorie meal (6ish points and not sure how many pointsplus).
There are options at every restaurant.