I’m trying to find a vaguely-recalled reference to the State of Georgia conducting armed hostilities with Spanish Florida in the immediate post-Revolution period. I don’t remember if it was a territorial dispute over what’s now Alabama or if it was indian wars and/or escaped slave hunts. I’m pretty sure this was not the Seminole wars in the early nineteenth century. My searches are hampered by the country of Georgia and by “Georgian” in the British period sense.
There were hostilities before the American Revolution, during the War of Jenkins’ Ear in the 1740s. See The Siege of St. Augustine and The invasion of Georgia.
Then after the Revolution, there was the Quasi War between the U.S. and Revolutionary France (about 1798-1800) in which some Americans including Hamilton wanted to invade Florida and Louisiana which were then held by France’s ally Spain. No land battles were actually fought.
In 1810 a group of American settlers rebelled against Spanish authority in West Florida (a coastal strip in modern Louisiana, Mississippi, and Alabama) and set up a republic. The U.S. under President Madison annexed West Florida a few months later.
If this helps at all: one thing I (mis?)remember about it was that it was one of the reasons why the new Constitution replacing the Articles of Confederation authorized a national army and forbade the states from having independent militaries.
As far as I can tell, there were no raids during the period the OP is describing. There were three periods when there was fighting between Florida and Georgia. There was the War of Jenkin’s Ear when Spain invaded the British colony of Georgia in 1742 from the Spanish colony in Florida. During the American Revolution, Spain was allied with the Americans. Britain responded by occupying Florida and using it as a base to invade Georgia in 1778. Britain returned Florida to Spain at the end of the war and there were disputes between Spain and the United States. These led to an unofficial American invasion of Florida in 1818.