Any autozone or advance auto will check your alternator for free, they don't even need to take it out of the car. AA troubleshot the dead alternator in my trooper pretty spot-on. It sounds like you may have a drain and IIRC you have lots of "aftermarket" lighting on your vehicle. Might be worth it to just get that piece of mind. I know I'll never install another amp in any of my vehicles without an inline power switch after the headaches I went through with the trooper.my charging system is not right...it never has been...it does not charge the stock battery enough to play just the stock radio for 2 hours.
Isuzu says they will charge me to check it.