Morrells sell a number of spirit based stains (including green)
Available in a range of quick drying, easy to apply light fast stain colours. Perfect for wooden floors, doors and more.
www.wood-finishes-direct.com
My only concern is that the product is described as "alcohol" based- rather than spirit based. French polish is alcohol based. The combination of the two might result in the first coat of polish pulling the dye out as you use the "rubber".
I would recommend that you contact the company in the above link, alternatively, contact Morrells directly...
https://www.morrells.co.uk/products/wood-finishes/stains-patinas-fillers/light-fast-stains/
In my limited experience, you can't always get through to Morrells when when you phone them, a good company though, and when you do, the advice is top notch.
-------- edit, you can mix their stains, potentially using tester tins.