I know a guy named Steve out of Craig, AK that used to do blacktail hunts. Mostly he guides salmon fishermen now but he may still do the hunts. He runs an outfit called Silver Seas Adventures so you can look him up. Even if he doesn't do the hunts anymore he was been there for a long, long time and could probably suggest a reputable outfit.
I'd like to do a Sitka hunt sometime but if I ever do it I'll go unguided. Deer, moose and black bear are the only big game in AK you can hunt without a guide.