Before you stain oak, take a damp cloth and raise the grain a bit. Do the stain, then sand back a bit when dry. Should eliminate any issues with blotching. edit: Thats actually pretty universal advice for most woods. Helps a lot to get a uniform color.
Alcohol dyes can be sanded back pretty easily. I would take a medicine dropper or syringe and fill in the voids carefully. It really shouldn't bleed out too much. I do inlays with black dye on maple, never been an issue for me. Any bleed out is easily sanded back.