"...to go watch..." There's nothing to see unless it's an IPSC/IDPA/Metallic Silhouette shoot. Like g.willikers says, going to the assorted shooting game web sites will give you club locations.
Lotta clubs don't allow spectators either. So phone first.
Start here though(CMP club. Think M1 Rifle). Don't be surprised if somebody offers to lend you a rifle either. Shooters are like that.
https://www.myvssa.org/