I don't know any good camera at that price. The cheapest range I've gone for is usually around $300.
Also, are you planning on using it outside or just recording in your room? Because a webcam like Logitech c920 would be fine.
Around here (Philippines) quite a lot of vloggers just use their phones. I have a Samsung J5 and the vids are actually pretty good. One of the only vloggers I sub to is Patrick Levar, an American living in Japan, he does all his vids are on a phone cam. That is the point of his channel, to show that the gear is not the most important thing. His stuff looks a lot better than mine because he has actual skill ha ha
At that price range most phones can beat those cams (especially if you add it as premium on your next phone, and you can edit on the as well if its half way decent)
If you go for anything these days it should be able of at least recording full HD (1080p) without overheating, a connector for an external microfone is also very much worth - no proprietary stuff mind you - that only gives problems.
For vlogging phones - I used the Sony Xperia XZ Premium till recently and was very satisfied with that one.