I would suggest the Canon Powershot S3 SI digital camera. It is available in the U.S. in your price range.
I have shot approximately 2000 pictures with my Canon PowerShot S3 IS. I have been using mode setting Program (P) for indoors with ISO 80 and the Large Superfine compression setting. For outdoors, I have been using Shutter Speed Priority (Tv) with ISO 80 and the Large Superfine compression setting.
Indoor pictures have been shot with and without flash, depending on the available indoor light sources. The flash seems a bit weak beyond ten feet, and a bit slow to recharge if you are trying to shoot quick successive shots. Knowing these limitations, I have had very nice success with my indoor pictures.
Outdoor pictures in bright sun and no shade have been shot from 1/1000 shutter speed with some clouds in the sky, to 1/1600 shutter speed with hardly any clouds in the sky.
Outdoor pictures in bright sun, but in shaded areas have been shot from 1/250 shutter speed to 1/800 shutter speed.
Pictures at an early morning outdoor sports activity with bright sun and long shadows from trees have been shot with a shutter speed of 1/500.
At the early morning outdoor sports activity with the bright sun and long shadows from trees, there was no problem viewing the subjects with the Viewfinder. Also, Continuous Shooting Mode worked very well. It perhaps, works a bit too well, because you start running out of card space quickly.
There have been no problems using the LCD Monitor or Viewfinder with the indoor shooting.
However, outdoor shooting is a different story altogether, except with the outdoor sports activity as mentioned above. The LCD Monitor is extremely hard to see in bright sunlight. Also, the Viewfinder is extremely hard to see in bright sunlight. You point at your subject as best as you can make it out, and if there is enough time take a second shot, hoping for the best to obtain a good composition. Here is where a computer photo program with cropping comes in quite handy.
I have had very nice success with my outdoor shooting.
Battery life has been over 300 pictures with alkaline batteries.
About the strap. It seems to be holding up well, except that the lettering is starting to come off, and I have not had the camera a month, yet. The side of the strap that had PowerShot, now reads PowerSho. Not a big deal, but if you are going to put your company name on the camera strap, do it well, or not at all. It just looks tacky.