Which national park, located near the town of Baker Nevada, restricts the use of domestic animals in backcountry areas?
Backpacking with animals:  For example, Great Basin National Park does not allow domestic animals at all in backcountry areas. Great Basin National Park:  It is most commonly accessed by way of Nevada State Route 488, which is connected to U.S. Routes 6 and 50 by Nevada State Route 487 via the small town of Baker, the closest settlement to the park.
Great Basin National Park