Hi,
3 more links, none of which answer your question directly but may just point you in the right direction...
http://www.fotocasa.es/viviendas/moron-de-la-frontera/alquiler/listado?opi=38&crp=1&cu=es-es&mode=0
http://en.wikipedia.org/wiki/Mor%C3%B3n_Air_Base
http://gazules.blogspot.com.es/2013/01/working-for-yanqui-dollar-us-presence.html
The base lies to the NW of Moron de la Frontera town, way out in the sticks or campo as it is known. Most advertised accommadation is probably located in Moron town or Utrera. I would suggest that these two locations would be a good starting point in your search.
Nearest rail stations are all about 30 minutes driving time from Moron Airbase and are located at Utrera on the Cadiz- Seville route, Marchena on the Granada-Seville route and Dos Hermanas which is served by both of the aforementioned routes. Its a long walk from Seville Santa Justa rail station to the city centre especially in the 40C summer temperatures so take a hint... take a taxi to the Cathedral; it's as central as you are likely to want to be and only a short walk down to the river.
Nearest civil airports are Seville and Jerez.
Driving in Seville is the same as driving in any major Spanish town... frenetic... and ill signposted.
Hope some of this helps; as I said it doesnt answer your questions directly but you never know...
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