Have driven that stretch a number of times and other than boring, it should not be a problem for you. Las Vegas is roughly 2000'. Tonopah is about the half way point and roughly 6000' -- so your biggest climb will be that 4000'. It's one of those long gradual climbs on straight road that you don't really notice other than the last 50 miles or so.
From Tonopah you will gradually descend 2000' or less to Hawthorne, NV -- the Naval Weapons Station and Walker Lake area. I believe Hawthorne is around 4300' and Reno is around 4500. You'll pick up I50 at Fallon (location of the Top Gun training center) and continue West to I80 East of Reno. Some up and down stuff between Hawthorne and Reno, but not bad at all.
Again -- a very boring but easy drive. Beautiful downtown Battle Mountain, NV is "not" a world famous tourist attraction. Have a safe trip . . .