Florida law does not require you to accept oral stop payments, but it does not prohibit you from doing so either.
Read your account contracts. Many Florida banks use contracts that reflect the language in the model version of the UCC i.e. an oral stop payment is good for 14 days. If it's in your contract that you will do it then it makes no difference that state law would not require you to do it.
Only an observation, if you are ever going to have a dispute with a customer over a stop payment it will likely be an oral stop payment. Your legislators gave you a break when they indicated you were not required to take them, but refusing to do so may be a bit outmoded today.
In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.