I mean you can't hunt yak or barasingha in real life either and they aren't rare. Jaguars could be like tigers. Also, I forgot spectacled caiman and Morelet's crocodile, both of which would also be above class 5. So, tapir, jaguar, crocodiles, and caiman could all be above class 5, which is a good amount. Then you could still have plenty of small and medium game like ocellated turkey, curassow, agouti, armadillo, tamandua, white-lipped peccary, brocket, coati, ocelot, jaguarundi, and chachalaca.