Jackstone,
North and East Aurora are the nicest and newest areas. There is a lot of new construction off of Buckley Ave, right by the base. Apartment costs are kinda high because the cost of living here is a bit higher (you can get a 1 or 2 bedroom, brand new complex, for around 600-900/mo). The base is right off of I-70 pretty much, so you can live pretty much anywhere in east Denver and be a short drive to the base. As far as your AFSC, im not sure. They have been changing things up since the base closings and have inherited a couple of squadrons from other bases. Can't help you there.