Lostriver....your goal of a 36" ram is very doable and a lot of outfitters can do that.
If you want to save some $ and you are flexible at all, consider doing your homework and identify about 5 to 10 outfitters you would be willing to hunt with and let them know you'd be willing to hunt sheep on a....say....4-6 week notice. A lot of outfitters get cancellations and already have a deposit on the hunt. To sell those hunts they often take them to consultants who they have to pay a cut to. I think that could be a way to save some money if that's important to you. On the other hand being able to look forward to the hunt, train and prepare is part of the whole experience.