We're about to raise our frame next week. In preparation we are staining the T&G panelling with a Minwax water-based whitewash/pickling stain. I had bought some Livos intending to use that on the timber frame itself. However, I'm now thinking that the clear finished timbers won't look too great against the whitewashed panelling. It all needs to be the same shade, or have more of a contrast.

Problem: I'm reluctant to use the Minwax on the frame. I'd like an oil product that penetrates more. What about adding some white oil-based paint to the Livos and using that for a whitewash effect? Would it need to be a linseed oil based paint to mix with the Livos? (if so, any recommendations?) Or would an alkyd work? Or could I just apply the Livos and do an oil whitewash later?