Hi, I had the same experience recently trying to match my ash in my '69 Safari.
From what I can see in the picture your raw woods colour is pretty darn close to what you need and that was the same issue I had, as soon as I added a finish the colouring dramatically changed, I went through umpteen different finishes and even pickling in an attempt to get it right. In the end the one that worked for me was Minwax brushable laquer. It didn't change the colour of the wood from the original at all. I used a cheap foam brush and brushed it on fast. It self levels to a point but it quickly kicks over like an epoxy and leaves brush marks if you work too slowly.
After some research I found that a lacquer finish was what was used in my year anyway so I also used it to top coat some areas of the original cabinetry as well, again without affecting the original colour.
Minwax 1-qt. Gloss Clear Brushing Lacquer-15500 - The Home Depot