Flight
To fly directly into Bismarck is totally feasible. Sometimes flights into Fargo, ND are cheaper but be prepared for an additional three-hour road trip after you land!
Hotel
There are tons of hotels around Bismarck. Feel free to use booking services like Priceline or Hotels.com. The three hotels listed above are right near Kyle & Hailey's church Evangel (located on N 14th St). After their wedding, you could attend one of the three services at Evangel's Bismarck Campus, and you'd only have to walk about a hundred yards.