Have you considered wood dyes, not stains? You can buy dyes in a wide variety of colors/shades from woodworking specialty stores online.
The dyes may seem expensive, but they are very concentrated, and because you can dilute them and mix them as you wish, you have a better chance of being able to fine tune the mix so that you get something that's close. Experiment on a scrap of wood that's of exactly the same kind as the piece you're looking to finish.
Dyes also have the advantages of overcoming the blotching that can occur with soft woods such as pine; being very easy (and forgiving) when applied; they dry quickly; and they have a long shelf life.
One other consideration: Poplar is relatively inexpensive. If cost is what's driving your consideration of using pine, you might find that it's not much (if any) more expensive to use poplar than to use clear pine.