Sweet! Good Luck on your first elk hunt, you should have a blast!
If I was going into an area I didn't know, I"d be ready to cover some serious ground to find elk, but a good topo can tell you pretty quickly where they are.....just depends on if you want to walk to them. If you are planning on hunting elk near the roads then it may take a little more time to "run into them" but hopefully you'll be in a good area.
One tip, if you are going to hunt near forest roads, spend a few hours after dark driving and listening off good vantage points, or get up extra early and do the same thing. Alot of folks hate to see/hear a guy bugle from a road, but you may give it a shot, especially at night, to get a good idea of where they are.
Do you know the area at all? Non guided right?