There are several fantastic courses around the Phoenix / Scottsdale area that will be very different from the layouts you are used to. A couple to consider would be:

Wie-Ko-Pah in Fountain Hills (east of Scottsdale)
The Raven at Verrado in Goodyear (west valley)
Sun Ridge Canyon in Fountain Hills
Fantastic Eagle in Fountain Hills
TPC Desert Course in Scottsdale
Kierland Links in Scottsdale
Sanctuary in Scottsdale
Vistal in South Phoenix

There are many more, but these are some of my favorites. Each (with the exception of Kierland) are desert courses with some fantastic views, etc. Rates for those courses in September would range from around $50 (Vistal) to somewhere near $110 (Wie-Ko-Pah). There are always internet specials and the Thursday edition of the Arizona Republic always carries golf coupons in the sports section.

The top four listed are my favorites in the area and are playable at a reasonable rates. The Raven is a bit of a drive from Scottsdale (50 miles) but worth the drive and they take care of their visitors.

Excellent luck

Well NZ supposedly has more golf courses per capital that anywhere else in the world. But on finding this site, I’m doubthing that’s right. Give this a try i’m sure you’ll find something to suit – just scroll down a small.

http://www.thegolfcourses.net/golfcourses/AZ/Scottsdale.htm

the Phoenician Resort fantastic food fantastic rooms spas pools and fantastic golf courses, it’s in Scottsdale

You can look at a few courses here. There are also some hotel package information to nearest hotel / resort. Sorry – I’ve never played in Arizona