You may draw deer at least a couple times in 20 years, but in twenty years you may not draw either elk or sheep unless you get lucky.
Sheep is a tricky proposition, because Nevada does give out a bunch of sheep tags to NR's as compared to other states. The issue is there are a lot of people with more points than you will have, but you can always get lucky year 1 against the odds.
Elk in Nevada is tough, the habitat in Nevada doesn't support massive populations like you would see in Montana, Colorado, or Wyoming. They do try to maintain trophy quality in the state as well.
Deer in Nevada is a good thing to put in for while waiting for elk or sheep.
You also can plan a trip to a unit that you want to hunt and hunt Devil birds. Nevada has a bunch of chukars and they are a fun time.