How about cream, a lighter green, and a midtone sandy beigy brown. Make sure the lighter green doesn't tend toward blue like teal green, but is a true green.

A dusty rose or mauve may go too. After all red is the complimentary color of green. Not that you'd want red, but if the colors you pick have a hint of red or pink they would probably go.

I would take your ball of wool into the shop and pick out colors you would wear with the green if it were slacks. lay them out and see which goes together. I would definately include cream to lighten up the dark green.

Thanks very much oilpainter!
I really appreciate your advice.

I will be heading out to the wool shop today.