Gosh, I dont know what to advise. If he likes the dowel, I would just use that until he is so comfortable with that & time goes on that he forgets about stepping up on you & biting. can you take the dowel with you to your parents? Als, my 2 greys & my 1 amazon will step up onto my arm, but really don't prefer it as there is nothing to really grab onto, and your skin can slide..grap your arm tight with your hand & twist it, your skin isn't firm & it's easier for them to lose balance & fall. they prefer something they can dig their claws into if need be. He might like the dowel because he can wrap his claws & hold on tight making him feel more secure. I offer my hand in moments of being unsure about getting bit, but ALWAYS make a fist, if you have a tight fist, there really isn't much to bite or latch onto.
I would contiune with the high praise & reward when he does what you like, but replace your arm with a sturdier item. keep us posted & Good luck. remember be patient as we live in their time which passes slowly vs our hurry up world!