I seem to remember that someone here recently usd wood stains on a ship.
Cog or ship Thomas? Docidle?
Anyhow, there's good reason to assume it would work like a wash.
I used a similar method on my Viking Ship, as follows.
Paint the model a final color coat including any variations, color changes etc. Solvent based enamel or acrylic. Apply a sealer coat of clear acrylic. The old standby is floor polish- "Future" being the usual one. Airbrush or hand brush, just be careful not to get runs.
After it dries well, apply your stains or washes. I use oil paint dissolved in Turpenoid, other stains might be similar. You can wait a few seconds, or a few minutes, then wipe off the excess and any runs. It's a pretty forgiving method if you go slowly and build up color.