With hurricane season coming how will you keep things cool if you loose power?
The biggest thing in this fight is planning. You will lose cool in a freezer in just a few days and if you open it up it will go faster. Dry ice will help but at some point the big thaw will start. I have known people you have inventoried the contents of the freezer and put it against their insurance deductible, check your policy.
In past hurricanes I have planned several meals in advance and stored all of that in an ice chest. Actually having several ice chest around is not a bad idea, if you plan right you could go a couple of days and not have to open the frig.
Gel packs are a good idea, the Nordic Ice products work well and stay solid a long time. Blocks of ice work better but if you are freezing your own start early so they are solid when you need them.
If you do get a generator make sure that it is capable of producing the wattage your appliance needs to start its compressor. (That info is probably on a paper tag on the back of your unit.) You will also want to plan around its use so that it will not have to run all the time. Cleaning the coils on your frig will help it work better so you do not have to run the generator as much.