There is a LaQuinta Inn on Ben White Blvd., across from the new Austin airport. I've heard it is nice. There is also a Fairfield Inn about a mile north of Concordia on I.H. 35. I would imagine both hotels have 800 numbers for booking. 

Concordia is located on I.H. (Interstate Highway) 35 -- 3400 North. The campus is situated between 32nd and 38 1/2 Streets -- directly across from St. David's Hospital. Going north on I 35 you take the 32nd St. exit. There is a blue "H" (Hospital) sign marking the exit. Just follow the frontage road. Concordia will be on the left (west) side of the Interstate. Just loop around on the frontage road and park in the main lot. Chris is located in the Peter Center -- on the far west side of campus (the only 3-story building on campus) -- room 311.

Link to campus web map.