I live right down the road from Eglin. I've never hunted there but do have some friends that frequent it alot. They kill some really nice deer and turkey every year. It's pretty much like your typcial WMA...if your willing to walk and get off the beaten path you will kill some deer.
Check this site out. Go to their forum page(top right on home page)and look for the hunting forum and then Eglin Mobility hunt thread. There are pics of this years harvest there. If you can go back far enough there may be a post from last years hunt where they killed some bigger deer.
www.pensacolafishingforum.com
There are alot of people that hunt it but if you are willing to put in your time and leg work you will kill some deer.