Can anyone identify this species of spider?
Based on your area and this pest control site I believe that the bugs in your picture are not spiders, they are clover mites. I have found that some clover mites are a darker brown color and also slightly larger. This image gives a better view of the features of a clover mite, including the longer pair of front legs and oval shaped body:  Clover mites don't pose a threat to people or animals as they live off of either plants or fungi, but smashing them can leave stains on furniture and clothing.