How much water do you want -- 100 gallons -- or a tanker full? There's a spigot at the Pilot truck stop - west side of the building, near the front corner. Air machine right next to it, and the "employee parking" lot behind. You'll need your own hose -- regular garden hose thread. I'd suggest that if you use that spigot you go inside and buy something, and don't fill your 8,000 gallon tank - just the 100.
The Quality Inn has spigots here and there around the building, but if you're not staying there Jaime, the manager, will let you know that you are NOT welcome to take his water. I don't know of others right off, but ask Mike Crawford at the CarQuest auto parts store on the far east end of Wendover, Utah. He's mayor and might know where to get some H2O, His sister and Linda work at the West Wendover Tourist Center and can probably steer you towards water. The KoA will certainly have water, even right at the entrance, not just the individual parking spots -- but they might frown on you fillinig if you're not camping with them. Ditto the new campground by the Nugget.
There -- that's a start for you. Oh, yes -- the truck stop at exit 4 has water, too. Some years it's been "Help Yourself", some years it hasn't. I don't know what this year portends.