Browns Billiards is in Ogden (Bar Boxes but not a bad place)...
A little south of Ogden you have the Layton/Clearfield area...There you will find Crown Billiards (a few 9 footers and a few bar boxes...Kind of a dump)
Further south into the Salt Lake City/ West Valley area you have the Ritz and EO's (these are the best pool halls in the area and are also where they filmed the movie poolhall junkies)
Hope that helps....