Unfortunately there is no fix for salt accumulation other than drenching the soil with fresh water as you were told. The loss of plants was likely due to the excessive soil moisture for an extended period of time along with the salt damage.
Iron won't fix salt problems and the reasons you were told not to fertilize is the first of all the plants are not lacking nutrients but rather are stressed, and secondly the fertilizer is a salt based product that could actually make the situation worse.
Let's just hope this season the hurricanes avoid your place. You may also want to focus on salt tolerant plants. The following web site gives some ideas:
The following web site will allow you to search for Monrovia plants by name, by category and/or by attributes. Under the benefits column check "seacoast exposure" and possibly "tolerates wet soils".
When a list of options is returned via the search, you can click on a plant to learn more about it and in many cases to see a photo too.
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