Dan,
As Larry ("Pocatello") mentioned, there's a trap club (Golden Spike) in Brigham just south of the I-15 Forrest St. exit. That would be the closest. They have practice on Thursday evenings and Sunday afternoons. They usually have two ATA shoots, one in May or early June and one on Labor Day weekend.
Ogden Gun Club is actually in Willard. It's located just north of the Willard Bay South Marina entrance (2000 W 8700 S). The nearest I-15 exit is 352. They shoot on Wednesday evenings and Sunday mornings. They usually have 4 ATA shoots. A one day shoot in late February/early March, a three day shoot in April (the Northern Utah Open) and a couple of two day shoots in the summer and fall.
The link above to the USTA's site will provide you with a little more info.
What do you do that brings you to this area?
Scott