Dust bath regularly encountered in area of Bryce canyon (4)
I believe the answer is:
utah
'area of bryce canyon' is the definition.
(Bryce Canyon National Park is in Utah)
'dust bath regularly encountered' is the wordplay.
'regularly encountered' indicates alternate letters.
'dust'+'bath'='dustbath'
The alternating letters of 'dustbath' are 'UTAH'.
'in' is the link.
(Other definitions for utah that I've seen before include "US state settled by the Mormons" , "Mormon US state" , "A hut marks the State" , "In USA, it's the Mormon state" , "American state associated with Mormons and their faith" .)