I guess one thing to ask is your ability level and whether or not you are comfortable skiing off-piste.
Targhee Cat Skiing can be the best or worst day of your life, depending on snow conditions and whom you get stuck with. I've been out on the cat somewhere between 10 but less than 75 times (not going to tell you exactly), and I've had everything from too deep of snow (+30") to sun baked death crust; from an entire cat load of Snowbird PSIA Level III instructors (getting in 14 runs) to the "I want to be, no, I shall be, pampered" family from NYC (6 runs); and from 50 degree F spring corn to -15 degree F clear and cold days.
You have to be comfortable skiing all conditions, all day. Not that you're one of these, but LOTS of skiers and boarders show up stating their ability as "Expert" and end up flailing after the first run. I've seen many skiers (and boarders) pay for a full day of cat skiing and then spend half of it riding in the cab of the cat because they have way overstated thier ability and can't hang ("These boots make my thighs hurt."). Again, not saying that you are one of them.
Nothing is groomed, and all (99%) of the steep skiing will be in trees. Peaked Ridge does get guided once in a while (i.e., the guides sometimes take the clients down the ridge, depending on the ability of the group), but not very often.
Take extra gear in a backpack, no matter where you go. And listen to your guides. If they say, "stay to my left", when skiing along Peaked Ridge, they mean it.