If you'd double your price, you'd have better luck.
Under $200, all the point and shoots are the same. With ANY point and shoot, you will need to learn manual control. In AUTO, your camera has logarithms that increase ISO automatically (blur/noise) in low light.
Here is a list of cameras that might give you better results, but they will cost you about twice what you've indicated is your limit.
http://www.dpreview.com/reviews/Q210grouptravelzoom/
I'll cut to the chase and give you this sites' top three choices:
Ratings and recommendations
Of the 13 cameras in this group, there are a handful that consistently did very well in our tests. One of the best all-round performers (and one of the most popular amongst dpreview.com staff looking for a compact to take out for the weekend) is the Casio Exilim FH100. The Casio combines excellent build quality, a very broad feature set and a versatile 10x zoom lens with sharp, detailed images in a range of situations. It's video image quality is genuinely outstanding, too, and rivals footage from some DSLRs for detail and clarity.
All of the cameras in this group belong to the 'travel zoom' category, and of all of them, the Samsung HZ35W offers the most versatile lens. Covering an astonishing 24-360mm (equivalent) the Samsung truly is a jack of all trades, as comfortable picking out distant details as it is with sweeping landscapes or interiors. The Samsung also delivers excellent image quality, and like the Casio FH100, it boasts an exceptional feature set. Our main gripe with the HZ35W is that it's built-in GPS is quirky to the point of being (in our sample at least) non-operational, but fortunately there is a lot more to the Samsung than this feature, and even without it, the HZ35W is an excellent camera.
The Sony Cyber-shot HX5 very narrowly misses out on a gold award in this test, primarily for the reasons that we mentioned on its individual page. Although it is capable of extremely good results, slow operational speed and a quirky interface did cause us some frustration. Treat it as a primarily 'auto everything' camera, however, and you won't be disappointed.