Great Dane.

Question
I have recently purchased a ten week old male Great Dane.  When he first came home he was very laid back and easy-going.  We have now had him for two weeks.  About a week ago he started growling and has even started to snap at members of the family (all adults-no children in the household) I immediately started doing research to find out what we were doing wrong and what could be causing this.  He is a healthy puppy.  Through my research I concluded that we were treating him more like a human than a dog so he started to assume the position of the alpha of the pack. As soon as I read articles and training techniques we got started on them right away. For the most part he now complies or is learning with our commands (such as sit, come, shake) But the thing that worries me (being that he is going to grow into a giant dog rather quickly) is that he still does growl and snap at someone atleast once a day. Is this something I should be concerned about? Is this something he will overcome with our consistancy or do we need to try something else?  We have tried the domination games like rolling him onto his back until he gives in to submission. It's not a plyful growl either. It's rather agressive. He has gotten the hang of the commands we have taught them, but there are times throughout the day where he refuses to walk beside me on the leash or come when he is called. He can be a very stubbourn dog. Aside from that he is the perfect pet! I live in a small town where there are no available sources for obdience training and the nearest city that offers anything of the sort is four hours away. I would greatly appreciate any advice you have for us so that we can enjoy our time with our pet instead of worrying about his future outcome.  I have included a list of things we have started to do to show him that we are in charge:
Walking beside humans on a leash
waiting for human to go through doorways first
eating after humans eat
having to be quiet and sit before we put his food/water bowl down
Staring at him waiting for him to avert his eyes when he is in trouble for growling/snapping
quieting down before he is allowed out of his crate
Staying off beds/furniture
Not climbing up on/ touching humans unless allowed by humans to do so
Play time only when humans initiate it
Making him lay down in a corner by himself when he is in trouble for snapping and or biting
Never giving in to his whining
This is a long email but I just wanted to leave you with any information you may need for our situation.  Any advice would be wonderful!

Answer
Continue what you are doing.  It may take a little while for it to sink in that you are in charge.  Sitting quietly before being fed is very important.  Avoid harsh punishments and reward good behavior with treats.  

Much of dog training is dividing into 2 camps.  One denies all the pack rank and dominance that you are doing.  The other lead by Cesar Milan emphases harsh punishment and rolling the dog.  Avoid both.  Dogs do respond to strong leadership, but also to positive methods.