The wild sheep drawing information is not yet available as this is posted, except for this blurb on the drawings page of the Arizona Game and Fish website (at http://www.azgfd.gov/eservices/draw.shtml):
Fall Draw Information
The next deadline day for the submission of hunt permit-tag applications for fall 2008 hunts for deer, turkey, javelina bighorn sheep, buffalo should be Tuesday, June 10, 2008. Check back to this web site for updated information.

A bit of the raffle information appears in Arizona's 2008 Pronghorn Antelope and Elk Hunt Draw Information booklet. I'll paraphrase it here:
Arizona Big Game Super Raffle
Various state and national sportsmen’s groups have put together a raffle for one of each of nine big game species in Arizona. Season dates are Aug. 15, 2008, through Aug. 14, 2009, and include most units. The raffle will occur in July 2008 on a date to be announced. A raffle ticket order form is available on written page # 32 (electronic page # 30) of this regulation booklet. The booklet is available without the ads (8.25 mb file) at http://www.azgfd.gov/pdfs/h_f/regulations/2008/5.pdf and with the printed ads (14.2 mb file) at http://www.azgfd.gov/pdfs/h_f/regulations/2008/2008%20P...klet%20for%20WEB.pdf

Raffle ticket mail orders must be received by Friday, June 27th, 2008. The cost is $25 per raffle ticket. Last year (2007) 5,175 tickets were sold.

When complete information on the raffle is available, it will be at www.arizonabiggamesuperraffle.com

The raffle tag will be good for Desert Bighorn Sheep - Units in Northwestern Arizona as per Order 29 Tag # BS01 (this means it is in the Nelsoni subspecies areas).

Below is that section of "Commission Order 29" that relates specifically to this tag... (Note that the dates referred to are for '06 - '07. One must assume this document will be, or has been, updated to reflect to '08 / '09 dates.)

COMMISSION ORDER 29: SPECIAL HUNTS - Effective Date: October 21, 2005 - Page 7
FINAL - FINAL - FINAL
SPECIAL BIGHORN SHEEP SEASON - SPECIAL BIG GAME LICENSE TAG REQUIRED

Special Big Game License Tag Number: BS01
Open Season Date, Inclusive: August 1, 2006 - July 31, 2007
Notes: (1, 2, 3) See below under "NOTES"
Hunt Units: 9, 10, 12A, 12B, 13A, 13B, 15A, 15B, 15C, 15D and 16A (except Mohave County Park Lands). (Open areas do not include any area closed to hunting under A.R.S. sections 17-303 and 17-304 or Commission Rules R12-4-301, R12-4-801, R12-4-802, and R12-4-803)
Legal Bighorn: Any ram
Number of License Tags: 1
LAWFUL TAKING DEVICES: Any firearm or bow and arrow as prescribed in R12-4-304.
LICENSE REQUIRED: Special big game license tag for bighorn sheep as prescribed in R12-4-120.
NOTES:
(1) These special big game license tags are not available for general application.
(2) The Grand Canyon-Parashant, Vermilion Cliffs, Sonoran Desert, Ironwood Forest, and Agua Fria National Monuments are open to hunting.
(3) All bighorn sheep hunters, including the unsuccessful, must personally check out within 3 days following the close of the season in accordance with R12-4-308. Bighorn sheep hunt checking stations will be operated at Department Regional and Phoenix offices Monday – Friday, 8 a.m. to 5 p.m. in accordance with R12-4-308. Successful hunters are encouraged to contact the nearest Department office by telephone to coordinate inspections.

The nonresident mail-in order form, to obtain a 2008 Arizona hunting or combination hunting & fishing license is now available for download and/or printing. You may also order a hardcopy of the hunt regulations with this form. You'll need to pay a "postage & handling fee" in order to get the hardcopy of the regs.

From: http://www.azgfd.gov/eservices/licenses.shtml

Nonresident Hunt-Fish License, Regulation Order Form
Nonresidents can download this form to mail order for hunting and fishing licenses, hunting regulations, special use stamps, and nonpermit hunt tags. Residents can use this form too, but may find it easier to obtain these items at Department offices and more than 300 license dealers statewide.
- Nonresident Order Form [http://www.azgfd.gov/eservices/documents/2008NonresidentMailoutLetter.pdf]


FYI - Ordering the license in advance enables you to avoid having to send in money for a license with each and every application that you send in. You will have to buy one anyway, so you might just want to order it now and get it taken care of.