A turret press (not a progressive) is simply a single state press with positions to hold your dies as they are needed. I use an old Lyman turret press very happily. I use what is called the 'batch' method of reloading. In the end it is almost as fast as a progressive but gives me more hands on control and opportunity to inspect rounds at every stage. That is something I consider very important for safety.
Edit: I do not any respect for Lee presses. I'll use some of the Lee products but not their presses.