I've only been up there a couple times. The main big peak is Pilot Mtn, but that's a huge all-day hike. Ibapah is also an all-day hike with over 5,000 feet of gain.
I'd do a search here on summitpost and (if possible) order the search to just Elko County. There are a lot of smaller desert ranges north and south of the interstate that can be done in a half-day, some combining old roads and possibly ghost towns. Look for reports by Dean.
If you have the time, some exploration of the salt plains is worth the time, as is driving down along the old Pony Express route, as Larry describes. The loneliness out there is quite remarkable.
I have to ask, and I mean this in a friendly way, but what circumstances would cause a person to have to be in Wendover? Not that it's a bad town. The nicest thing about it is the train station, followed by the bus station and the highways, if you catch my drift.