Good advice so far. Call Tom, or others at ADFG but don't expect him to say hunt X drainage, and don't ask for that specific info, none of them will give it to you. Do your research before you call, know what drainage you want to hunt, and ask about sheep populations.
Talk to the couple outfitters that run hunts out there. Find out where they hunt, let them know you plan on hunting x drainage. You might be surprised to how helpful they might be.
Don't get hung up on going the first week. You have lots of time. Later in the year the sheep will get pushed out of the nasty stuff and be more accessible... you'll also likely have it all to yourself after week 2. That is some of the most rugged country in the state, weather can suck for days be prepared to spend some extra time in the mountains.
There is road, ATV and boat access if you have the toys to get you there.
Do hunt this tag and put in all the effort you can. It's unlikely you will ever draw it again. Don't be one of the 60% who squander the opportunity and don't even hunt it. If you can't afford to fly, or don't have a lot of time consider hiking/atv access. You could go multiple long weekends. You might have to walk 15 miles in, but you can get into sheep. With a little luck you might kill one.
Congrats on the tag.