"Would also like to find a reasonable secure storage area for my trailer and truck for two months. "
How about somewhere in Iowa?
Your choices around Miami will be open storage lots, or
renting a closed storage area, i.e. one of the "Public Storage" type places. Probably two 10x20' storage bays, one for the trailer and the second for the truck. Between possible storm issues, and UV exposure (literally, they've had dashboards melt in the south) and the inevitable guys who jump over fences...if you go for an outdoor storage area, there are many, but it would be hard to find any that could guarantee
security. SE
Florida can be a rough place that way.
The storage bay places won't be
cheap, if you pick one that is inconvenient to reach, so the rent is cheaper, it could still run you $500/month for the pair. But then again--at least the truck and trailer would be "out of sight out of mind" and behind another locked door, out of the
weather.
Maybe place an ad locally or on CL, asking if anyone has a private garage they'd rent out for two months?