Greetings,
Absolutely NOT! Minwax is oil based, and stinks to high heaven. It will penetrate the briar, and the results will be disaster. I use Minwax stain on the display boxes for my Blandings Collection, and have to let them dry for 2 weeks to allow the odor to dissapate. Otherwise the pipes within will pick up the smell.
ONLY use alcohol based stains like Fiebing's leather dye or powered stains thinned with denatured alcohol. Alcohol evaporates and leaves no residual odor.
Minwax oil-based stains are a good product-for furniture-NOT for pipes.
CACooper