Oh my gosh setting the appointment is a little frustrating. I had to make my appointment 3 months in advance because that's the only availability that would show up on their website. So I made my appointment in October of 2020 and the only slot they had was in January 2021. So my only advice is really to go on their website and make your appointment. I saw people going in person to try making an appointment but I'm not sure how that worked out for them. I honestly just had to wait 3 months.
You just have to keep trying to make an appointment. If your car registration expires, you can get a movement permit without an appointment and you can also have the VIN inspection(s) done any time. See the new resident web page and make sure you have what you need. https://dmvnv.com/newresident.htm
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