Hi, Tommicat!

You probably want to purchase your area rug before you choose a paint color. There are gazillions of paint colors, and you will want to take your rug colors into consideration when you choose a wall color.

It sounds like you have a southwest theme going on?

I'm not sure if it would work with your turquoise accents, but I really love BM Baby Turtle with black and brown furnishings.

Choosing the rug first is good, since the rug will probably set the tone and style. But I usually do wall color first, no matter what. It breaks all the rules of decorating, but my walls are the largest expanse of color in the room...
For a long time, a very lovely color to show off pretty wood floors, dark wood furniture, and of course, black.........has been Benjamin Moore's Dry Sage. I finally succumbed to it's allure and want it in more rooms! Here it is in my entry with a dark sideboard and a black-painted chair:

Oops. Can't see the black chair, it's on the other side of the sideboard. But it looks good. This color goes sage to soft blue to soft grey, depending on the light. Yet it can work as a neutral. And I just tried a turquoise pot with orchids on the sideboard (not in this shot) and that color is good. Don't let it fool you on the paint chip. It's very changeable.

Red

Take a look at SW Halcyon Green. Might work for you.