You sound like a very busy and industrious young man. All the more reason so as to enjoy your time at the park, alone. Besides, no one is really alone at Disneyland, for there are always people around that one can chat with if they feel like doing so. I am comfortable being by myself, and even if I was with a large group of people, I would still want some time to myself, and would still talk to strangers. Which I can do the latter, since I am not a kid.
Please do not feel self conscious, nor care or mind what strangers may think. I would not worry about anything. People are busy having a nice time themselves, and do not care if there are park guests that do not have X person in tow. Matter of fact, you will probably enjoy visiting so much alone, that for a future trip you will plan to do so again.