Thank you for your question, Jolin.  Without knowing more about your site, it is difficult to recommend any species that meets all of your needs.  (Landscape designers are trained in asking for the necessary information.)  But here is a WSU resource which lists native groundcovers, together with photos and plant descriptions:  https://www.pnwplants.wsu.edu/Groundcovers.aspx

You also might want to consider an eco-lawn:  https://extension.oregonstate.edu/gardening/techniques/ecolawn-less-work-water

I can find no resources which recommend Frog Fruit for our region, but it is common in the south (https://sfyl.ifas.ufl.edu/media/sfylifasufledu/monroe/docs/Frogfruit-Phyla-nodiflora.pdf).  

I would be wary of creeping thyme, as it is poisonous, and is labelled invasive in many jurisdictions:  https://extension.oregonstate.edu/gallery/fire-resistant-plant-profiles-groundcovers

I hope this helps.  Good luck!