Red jasper is probably the most common of the semi-precious stones. At least in Arizona it can be found in multiple locations. It varies from a dull purple to brilliant red in color and can have streaks of quartz that run through it. As with any jaspers or chert, hardness varies, but it usually takes a bright polish.
Most of my red jasper came from the Cave Creek area. There are several well-known hounding spots near Seven Springs, which is about 8 miles off the beaten path to the northeast of Carefree, Arizona. There is also an old location along the Cave Creek cutoff road that I've only read about. The alleged road has been washed out for years and the area fenced. I suppose if hiking is an option, one could probably find the old site although I hear it was cleaned out of the high grade material long ago.