I have been hunting Nebraska for 6 years, considered moving out there 3 years ago. We decided to stay put until my daughter graduates in about 10 years.
As far as places to hunt...I know when I was looking for employment in Kearney, North Platte, and Grand Island I saw a number of ad's in local papers for lease options. I don't know if you considered that or not. Leases have their pro's and con's. The biggest I see with mine is if the birds don't want to be there I am kinda of out of luck.
I don't know to much about public hunting areas or pressure in Nebraksa. I am sure as any state early season pressure is greater then later season.
Good luck, wish you the best. I would have to agree with Erik on ducks---