Doc B.
Member of the Trade: Bottlehead Corporation and The Tape Project, LLC
Would try wood conditioner next time to smooth out the staining, and tape the edges where the glue could overflow and touch since that affects stain absorption.
The trick with the glue is to have a damp rag ready to wipe off anything that squeezes out of the seam. Also, water based aniline dye from woodworking specialty stores works a lot better than most of the big box store stains.