I plan to apply for a sheep hunt in April but does that mean I can't go for another big game controlled hunt?

That's what it means. If you apply for a moose, goat or sheep hunt, you cannot also apply for other big game controlled hunts in the same year. The reason for this is to limit somewhat the number of applicants for moose, goat and sheep so that the odds are more reasonable.Now the exceptions to the rule (you knew there would be some, didn't you?): after applying for moose, goat or sheep, you may go for an unlimited controlled deer hunt, participate in a second tag deer controlled hunt, buy a leftover controlled hunt tag on July 15 or take part in a depredation hunt.