Temporary living in a RV has hidden costs you have not mentioned. Lot rent will be $500 plus depending on the location and quality of the park. You will pay for electricity on monthly lot rents, which will be $60 to $200 monthly. Trying to keep a RV comfortably cool in the summer in Florida may be a challenge. Feeding quarters into a coin laundry can add up quickly- expect about $10.00 weekly!
Unexpected repairs and maintenance issues on a very used RV can also add up quickly. You may be lucky and have nothing. An over burdened A/C unit that fails will be $800 to $1000. The same for the refrigerator and water heater.
Before you commit to a RV for temporary living, you should check with apartments, corporate housing, and other temporary housing options. You may find pets do not pose that much of an obstacle.