I was going to say Lantern Moon, until I got to the "not too expensive" part, depending upon what you think "expensive" is. If you're curious anyway, take a look at their backstory, which for me is the real reason I buy them. They're beautiful needles to look at, and are gorgeous to knit on. I recently splurged on three pairs, as I couldn't resist how beautiful they are!
Birch is light in color, takes stain very well, is a furniture grade hardwood, and birch ply is one of the strongest plywoods. Here's more info on Birch characteristics.
Rosewood is one of the most dense fine hardwoods, and so is very strong. It is also extremely attractive. There are actually a few different kinds of wood known as "rosewood", so you have to know what kind is being used to really know what the characteristics of the wood are that you have being called rosewood. The original wood called "rosewood" is Dalbergia nigra, which is a CITES-listed endangered species, so companies like Lantern Moon are probably using another rosewood.