I spent some time in Vero Beach in the late 90's and seem to recall there was a bike club/USCF race team located there that held weekday afternoon and Saturday morning training rides. A search of the USCF database returned these results:
Vero Velo - Vero Beach, FL 32960
velosport@bellsouth.net Club Contacts:
Eddie Branigan - Vice-President
John O'Connor - President
Also, here is a list of area bike shops that you might try calling to get local ride information:
St Lucie County Shops
Orange Blossom Bicycle Shop
4146 Okeechobee Rd
Ft Pierce, FL 34950
Sprockets
345 S.E. Port St. Lucie Blvd.
Port St. Lucie, FL 34984
772-336-3399
Indian River County Shops
Alan’s Bicycle Center
1175 Commerce Avenue
Vero Beach, FL 32960
(772)562-2453
Bales Bike Plus
1981 14th Avenue
Vero Beach, FL 32960
(772)567-0507
Bicycle Sport
858 21st. Street
Vero Beach, Fl 32960
(772)569-5990
Bike Depot
9402 N. U.S. Highway 1
Sebastian, FL 32958
(772)589-7234
¯\_(ツ)_/¯