Take off and nuke it from orbit.
I'm surprised no one else has suggested that before now.
Temperature and humidity need to be controlled. Air conditioning can be expensive but is probably the best way to assure relative safety for extended periods of absence from the apartment - in other words, set the temp a few degrees lower than your regular setting and increase the fan speed. Having a few air movers running as well wouldn't hurt, and if you have a trouble spot like the bathroom with normally poor air circulation I would recommend you get a fan in there anyhow.
Dehumidifiers are OK, but 1) need to be emptied/drained regularly or you risk flooding and 2) can be a breeding ground for mold and other gooshy stuff if not properly maintained. Thus they may not be a good solution for a perios of extended absence.
Beat Momma Nature at her own game - instead of squeezing moisture out of the air allow the air to hold more moisture. Of course you will need to adapt to living in >99*F and increasing the temp as the humidity (both ambient and in your apartment) increases. The problem is that there is only a small window between this and creating a jungle.
As regards the individual items that hosted the mold explosion - has the .mil stopped teaching that airing and exposure to sunligt (hanging on the clothesline for a full day) after cleaning the surface is perhaps the best assurance of stopping regrowth? Of course you might look a bit foolish walking guard duty around your clothesline while your short and long arms soaked in the sunshine. :rolleyes:
If you go this route, please send pictures.
stay safe.
skidmark