I assume you are aware that the Oak Creek sheep are of the California Rocky variety, so they are smaller than Rocky Mountain Bighorns. Mature rams tend to be heavily broomed and short, so if you don't know sheep, you might pass up on a good old ram looking for something with length. If a Cali ram has lamb tips, it's typically a young ram and probably should be left for a future hunter.
An old ram is what I'd be searching for. Anything in the 150" range is probably a ram to consider.
I've applied for that unit, but I don't have many points. If it were my tag, I'd try to look over as many sheep as I could and find one with mass and age.
I agree if they gave that many tags it will skim the cream off the top pretty quickly, but that herd has been doing well numbers wise.
It ought to be a fun time for you and your nephew. Best of luck and keep us posted.