actually there may some illegality to it - unless the shooter is resident of the state of florida or a US citizen.
There was always a law stating that people who do not fit into those two groups are not allowed to handle ammunition in the state of florida - but recently they actually started enforcing this law.
So the gun club i had been visiting for past few years in Fort Myers had to stop accepting tourists wanting to enjoy shooting. sucks.
This isn't accurate, I just checked Florida Statutes, it's not a State law.
There's a federal law, 18 USC 922

(2) that prohibits NIAs from using firearms and this applies to rental guns on the premises of an FFL. However if you have a hunting licence issued by any State, you can possess the firearm on their premises.
The difference in Florida is that when ATF notified FFLs of the new regs under that law in 2002 (the regs date from then, the law dates from 1998), they actually took notice of them.
I have to say though I've been to ranges in Idaho and elsewhere where they do check if you have a hunting licence, some do, some don't. In Florida in particular they seem to be more keen on enforcing it.
The moral of the story is to have a hunting licence. Buying one when you get there is tricky because Florida NR licences are megabucks and you have to have done the NRA hunter ed. course to get one. So you'd have to go on-line and get one from another State.
I was actually quite surprised to walk into a range in southern Idaho and get asked, wouldn't have thought they'd have many foreign tourists show up.