Answer: Based on your description, I wonder if it might be Ajuga reptans or Carpet bugle or Bugleweed. This can have glossy purple, green, or variegated foliage. The flowers are usually blue. It would grow well in your area. Here is a web site with some photos of it. You may need to cut and paste the complete url into your browser to make it work correctly.
I hope this helps.
Q&A Library Searching Tips