Palmbrook Country Club is an 18-hole private golf course in Sun City, Arizona, built in 1973 and designed by Jeff Hardin. It sits in the $$ (moderate) price range for golf in Arizona. The course is open all year. Tee times can be booked 7 days in advance. Play is generally limited to members and their guests.
Details like fees and seasons change, so call the course before you head out.