There are number of poorly rated hotels between 13-20 miles from the Pinnacles National Park.
There is a Highly Rated hotel 29 miles away Hampton Inn & Suites Salinas 523 Work Street, Salinas, CA 93901
2 well rated hotels 30 miles away: Quality Inn Salinas 144 Kern Street, US 101, Exit 328, Salinas, CA 93905
and Best Western Plus Salinas Valley Inn & Suites 187 Kern Street, Salinas, CA 93905
Wish I could go but I will be on a cruise with my wife starting that weekend, you can check out the closer hotels on line, these seemed like the most comfortable accommodations, that were not too far away. This must be near Laguna Seca!