Just leave out the KBr altogether. I don't know how far you can go with the btz; it evidently acts as a restrainer, so you can compensate for a higher concentration by increasing exposure. It might also act as a toe-cutter, I don't know, in which case you'd see something resembling increased contrast at some point. In your place I'd just experiment with a smallish volume and keep adding btz from a known concentration solution to the point you run into trouble or no appreciable tone difference is achieved.
As to the green hue: it's pretty much default among papers but it's intensity varies. It's just what small silver grains do in terms of light scattering, I suppose. Using a cooltone paper should help, but I never tried it.
If you don't like the somewhat warm tone of selenium, consider gold toning. I have a feeling it pretty much exactly does what you're looking for. It's somewhat pricy, but you can of course choose which prints you'll tone.