This is wrong. You can carry a gun any way while engaged in these activities.
F.S. 790.25(3) specifically states that it nullifies FS 790.053 and 790.06
"The provisions of ss. 790.053 and 790.06 do not apply in the following instances, and, despite such sections, it is lawful for the following persons to own, possess, and lawfully use firearms and other weapons, ammunition, and supplies for lawful purposes: ....
(h) A person engaged in fishing, camping, or lawful hunting or going to or returning from a fishing, camping, or lawful hunting expedition;"
So yes, you may carry open or concealed. If you are of age, I would just get your permit.