I enquired about the cycling at the State Parks in SWFL. Following is a response from the parks management. Hope it helps.
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Thank you for your interest in Florida State Parks. Fakahatchee Strand Preserve State Park does not have bicycling trails. Below is a list with website links to Florida State Parks in the Southwest Florida that do have bicycling opportunities:
Alafia River State Park in Lithia
http://www.floridastateparks.org/ala...er/default.cfm
Cayo Costa State Park in Boca Grande
http://www.floridastateparks.org/cayocosta/default.cfm
Collier-Seminole State Park in Naples
http://www.floridastateparks.org/col...le/default.cfm
Estero Bay State Park in Estero
http://www.floridastateparks.org/EsteroBay/default.cfm
Highlands Hammock State Park in Sebring
http://www.floridastateparks.org/hig...ck/default.cfm
Hillsborough River State Park in Thonotosassa
http://www.floridastateparks.org/hil...er/default.cfm
Lovers Key State Park in Ft. Myers Beach
http://www.floridastateparks.org/loverskey/default.cfm
Thank you again for you interest and I hope this information assists you in planning your visit.
Sincerely,
Emily Schwerin
Information Specialist
Florida Division of Recreation & Parks
Department of Environmental Protection
3900 Commonwealth Blvd. MS535
Tallahassee, FL 32399-3000
Phone (850) 245-2157
Visit The Real Floridasm at
http://www.floridastateparks.org