Hi this is Kimberly from landscape-solutions-for-you. There are a couple of ground covers you can use in full sun:
Pacasandra
Creeping Thyme
Creeping Mint
Creeping Rosemary
Vinca
Creeping Phlox
These are just a few that will work for you in full sun. Thank you for taking the time to ask this question. If you have further questions or need others suggestions feel free to ask right here or you may contact me at the website. Have a great day!