Hi Kyran, thanks a lot for your advice, this is very helpful!
The look we'll try and achieve in most of scenes will be bleak and moody, with high contrasts and shadows and pretty sharp on the skintones, possibly using CTBs, unless the Director wants to keep everything flat and neutral and do the grading in post.
In contrast, there will be some scenes with softer and warmer tones, but keeping the overal mood bleak.
It looks like I'll have access to HMIs, which might sort out the problem.I will try and also do some tests where possible.
I always wanted to get a Color meter, but normally they are quite expensive unless you know where I can get one for a decent price?