Here's a March 6, 1958 article from The Miami News which discusses the courses in existence 50 years prior.
They are:
Belle-air GC (Belleair) - 9 holes built in 1899 by J. Dunn or Col. Gillespie (not sure when Gillespie worked here, if he did), Ross came in 1915 to expand this course and build a new course.
Deland CC (Deland) - aka College Arms GC, an 18 hole hotel course built in 1905, architect unknown.
Stafford GC - a new one for me, I have no record of any course by this name.
Hibernia GC (Hibernia) - a private club owned by a Mrs. F. Brown, built prior to 1908, architect unknown.
Atlantic Beach GC (Atlantic Beach) - The first record I have for Atlantic Beach is Tillinghast's work in 1915.
Florida CC (Jacksonville) - 9 holes in 1897, had 18 holes some time before 1901, club changed locations around 1910, Ross built a new course in 1922.
Kissimmee GC (Kissimmee) - built in 1898 by J. Gillespie and F. Brown.
Magnolia Springs GC (Magnolia Springs) - 9 holes built by O. Seavey (although the Findlay lists claim this is his work).
Royal Palm GC (Miami) - built by an unknown architect in 1908.
Ocala Heights GC (Ocala) - built in 1898, architect unknown.
Orlando CC (Orlando) - I have this club dating back to 1910 as a 9 holer with an unknown architect. Both Ross and Bendelow claim the added 9 holes around 1918.
Ormond GC (Ormond) - laid out in 1897 by Findlay, Travis consulted in 1912, an additional 9 holes was added before 1916.
Palm Beach GC (Palm Beach) - course may predate 1900, both Findlay and A. Fenn are named as original architects.
Pensacola CC (Pensacola) - built by members as a 9 holer in 1902.
Sarasota GC (Sarasota) - the first course was built by Col. Gillespie in 1886, a subsequent 9 hole course in 1905 with Ross building a new course in the 1920's.
Fort Marion GC (St. Augustine) - probably aka St. Augustine CC, which was built in 1897 by A. Findlay.
St. Augustine GC (St. Augustine) - first course built in 1895 by C. Byrne, new 9 holes built in 1900 by an unknown architect.
Tampa Bay Hotel GC (Tampa) - built in 1898 by J. Gillespie, sources have S. and T. Dunn working on the course in 1899.
Winter Park GC (Winter Park) - 9 hole hotel course by J. Dunn in 1900.
Other courses that predated 1908 that may have been omitted from this list:
Clarendon GC (Daytona Beach) - a hotel course built in 1906, architect unknown.
Cumberland Island GC (Cumberland Island) - built prior to 1901, a private course owned by W.C. Carnegie at Dungenes.
Gables GC (location unknown) - 9 holes built by J. Dunn in 1898.
Miami Golf Links (Miami) - 9 holes by A. Findlay in 1897, did this become Royal Palms?
Naples GC (Naples) - course built by J. Gillespie.
OceanTrails GC (Palm Beach) - dates to 1896.
Oceanside G&CC (Ormond Beach) - a 1907 A. Findlay 9 holer.
Orlando Public Links (Orlando) - a 6 hole public course built prior to 1900.
Tallahassee GC (Tallahassee) - first course was a few holes on private land, moved to new site in 1915.