Torquestripe
Simply not true. What I said about the F-1 is the rule, only legal way around is when you unexpectedly run out of money, some kind of unforseen event. Then you can apply for a permit to work, this is very, very hard and since you're out of money you'll have no money for a lawyer either.
The H-3 does not allow you to work. It's only for gaining experience in a field which is not available in your home country. For example AG training. It's certainly not for paid flight instruction.
I'm not going to discuss this any further there are plenty of sites where you can learn all the in's and out's on American visas.