Sorry to hear that !!

Hope you get a good run today and can play catch up. I guess you could head for Ely for the night and with another early start still make it to Sonora over Tioga pass [via Tonopah and Benton Hot Springs]. Although my mapping program makes it an hour quicker than going via Elko over the 2 days, you do have the option of pushing on further than Elko [maybe as far as Winnemucca?] whereas Ely is isolated and would be your only real option. Another 6am start should put you at the entrance gate around Noon.

It actually looks like unless you can make it to Winnemucca for a shorter distance to Tioga next day, Ely could be your best option.

Ely Motel 6 has reasonable reviews.

Details.

Motel 6 - Ely #4672

US 93/S 7th Street at Avenue O
770 Avenue O
Ely, NV 89301
(775) 289-6671
Good luck !