On LOST the series, John Locke checked in his 400 knives at the terminal and managed to get them from the plane's luggage area once it crashed.
I would say that if you could manage to get stranded on a a tropical island with your knives the best tools you could hope for would need to be durable enough to last forever. Maybe some machetes, axes, BUSSE bowie knives, smaller utility knives like ESEE, and some stainless food prep knives. Don't forget to have some means to sharpen your knives without electricity. Ceramic rods and leather strops will work. A large container of nontoxic grease to keep your blades from rusting.
Edit: I just saw your budget. If your planning on getting stranded on an island, you really should increase your budget. You probably will not need money trapped in a bank account when you desperately need tools to survive. At the least, a few thousand dollars for some quality blades. You only live once.
True....but LOST was a TV show on....you know....that electronic babysitter.........where 13 minute police shoot-outs occur and no one ever reloads their weapon?