Hello Dave,
I can't give you an outfitter. But I will say that the south western part of the state has both whitetail and mule deer. They're in a zone where the two species meet.
The cool thing about that is your tag is either good for a mulie or whitetail buck and/or a whitetail doe.
The unfortunate part is that area is also in a mule deer conservation district as the state is trying hard to protect the numbers they have. So there is a limited number of permits issued each year, usually around June.
There is public access, easy to find, all you need to do is look up Nebraska Game and Parks website. They have a state wide map of all the walk-in areas.
Or you can give any of the offices a call and they'll help you along.
You may also want to throw a line out in the Nebraska state forum towards the bottom of the home page. I'm sure some one will be happy to help you.
Good luck!
-Jeremy