Thank You for your service to our country !
There are no Buck Antelope OTC tags, it's a draw. Mule Deer and Elk for some area can be bought OTC.
I believe all leftover tags are now best online as outfitters were buying them all up at stores that sold the OTC. Can't be sure as have not bought a doe/fawn leftover in years. Given the recession, their may even be some leftover buck tags but 10 to 1 they'll be on locked up private land where, even if you can hunt, you'll have to go through an outfitter to whom the rancher leases hunting rights or directly pay a rancher a trespass fee.
"Leftover licenses will go on sale after the drawing is complete for Elk, Deer and Antelope. The dates below are when you can expect leftover licenses to be available for purchase.
PLEASE NOTE: The majority of remaining Elk, Antelope and Deer licenses are for hunt areas in which it may be difficult to obtain access. You are strongly urged to obtain permission to hunt prior to purchasing a license."
Your best bet is to call Wyoming Game & Fish (very nice folks)
http://wgfd.wyo.gov/web2011/home.aspx307-777-4600
They can tell you drawing odds as well as point you to the best areas.
If you want to draw a buck Antelope tag as a non-resident it usually take a few years to get enough preference points and even then you're better off to pay for the premium license which increase your odds considerably.
My USAF buddy from CO applied 7 years, never drew, in year 8 he shelled out the "better chance to draw" money and drew. He has a nice (for Wyoming) 14 & 1/2" buck up on the wall now.
IMHO, the chance of 8 guys drawing in the same year is between zero and none.
I've been a resident 12 years and drawn Antelope Buck tags 8 times. Greatest animal in the US of A and as you know, found nowhere else in the world.
As an aside the brutal winter of 2010 hurt the herd and the droughts of 2011, 2012 and forecast for this year have/are hurting fawn production quite a bit. That all means less tags ..... ditto Mulies and the Wolves are decimating the Northern Elk herds as well.
Finally got Wolves delisted and our Governor (A Democrat with an A+ NRA rating) is now working on getting Grizzly Bears delisted as, in many areas, if you kill a Mulie or Elk you better not be alone.
"bang" equals ringing the dinner bell !
Best of luck putting your hunt together. Sounds like a great experience.