Impossible to tell what the issue is presently. Bad grounds are just that and will cause issue everywhere all the time of the are crappy. A quick test is to run a couple of extra grounds, 10 gauge cable minimum, from the the engine and body to the battery. Charge wire needs to be good as well - make a new temporary one or use a jumper cable off the charge post to the battery. If the alternator is still getting hot, then it's a dud or you have a helacious short somewhere drawing more amps than the alternator can output.
The easy way out is to get a new alternator and try it, if they will give a new one for free. If not free, then easy way just became more expensive if you fry the second one because of a wiring problem.
The easy way out is to get a new alternator and try it, if they will give a new one for free. If not free, then easy way just became more expensive if you fry the second one because of a wiring problem.