Any bread machine will mix the dough and raise it once, so you can shape it, do the final rise, and bake it yourself. That's the way I use mine most of the time, because it's a very old one that bakes a bucket-shaped loaf. If you get one that makes a traditional loaf shape, look for one that has two stirring paddles, and read reviews on line. Some do a much better job than others of getting the dough stirred and kneaded all the way to the corners so you don't get lumps of flour stuck in there. Price isn't a good indicator of quality with bread machines. (The one I have was cheap when my mother bought it for me, over 20 years ago! It should have been kind of junky for that price, but it's still going strong.)
Honestly, though, I would recommend waiting until you're at your goal weight before you get something that makes it easy to make bread. It's hard to control portion sizes on homemade bread, both because it's not sliced already and because it goes stale so fast that there's a temptation to eat a lot right away so it doesn't go to waste. I'm far from a low-carber. I think whole grain bread is healthy, but there definitely is such a thing as too much of a good thing! When I'm trying to lose weight, I have to put my bread machine away.
Maybe instead of buying a new appliance, you could learn a new technique. Do an internet search for "no-knead bread," or see if your library has the book "Artisan Bread in 15 Minutes a Day." There's a technique where you just stir the bread ingredients together and then let it rise for most of a day instead of kneading. It really does only take about 15 mins to half an hour of work to make the bread, but since you have to plan ahead, you don't make it on a whim and eat too much. That's what I've been doing recently; I make a large loaf and freeze half of it about once every 10 days. Much less of an overeating hazard than bread-machine bread.