There are no Motels in Milford but right up the road in Seward there are a few. The following are in order to closest to site

Super 8 Motel of Seward
1329 Progressive Rd., Seward, NE
(402) 643-3388

Dale's Motel Inc
734 Main St, Seward, NE
(402) 643-3685

East Hill Motel
131 E Highway 34, Seward, NE
(402) 643-3679

Super 8 Motel
2635 West ‘O’ Street
Lincoln, NE 68528
(402) 476-8904

Travelodge - Lincoln
2801 West ‘O’ Street
Lincoln, NE 68528
(402) 475-4921

Or if your inclined to a more high end experience:

Marriott-Cornhusker
333 S 13th St
Lincoln, NE 68508
(402) 474-7474

Holiday Inn-Lincoln Downtown
141 N 9th St
Lincoln, NE 68508
(402) 475-4011
Can not take West ‘O’ Street toward downtown to get here