Reno is the closest. But you'd better check ahead. If the weather gets crazy there is NO getting into Tahoe.
I tried last year in April...figured it was gonna be okay to drive from Vegas. So I did. Took the route over Kings Grade Road which was clear and got in.
Then when I left I re-googlemapped it and found a "quicker" way home.
Big mistake. Every damn mountain road was buried in 16 foot snow drifts. The guys running the gigantic machines to clear the roads told me it would be mid May before they had them cleared.
By then I was way up in the mountains with no cell phone signal and no way to re-map. So I just started driving back and got lost. Ended up on a 20 hour drive to Vegas. lol
Went through Yosemite park and a million little California mountain towns that I never knew existed. Drank about 10 "5 Hour Energy" drinks just trying to keep it together and get home.
It was quite an adventure to say the least.
Having said that...this winter had been really nice and mild. So MAYBE the roads are still open up there.