What are some affordable hotel options in a safe area in Bogota?
There are plenty of affordable hotels in the Zona Rosa(Zona T). We stayed by the airport at the Aloft Bogota Airport Hotel. It was extremely cheap but a little far from everything. I wouldn't stress about safe vs. non-safe areas. From my limited experience Bogota seemed to be extremely safe... the people are very very kind and rely on tourism. You're in good hands. Just don't over spend on taxi's (especially from the airport :).
Have fun, Jesse