Nighttime is when men make their booty calls. He doesn't want a relationship. He doesn't want to call you his girlfriend. He just wants you to invite him over for a "no strings attad" hookup that means absolutely nothing to him. Meanwhile, if he texts you as soon as he wakes up in the morning until he goes to bed at night, he's serious about you.
You'll both have to change your expectations and assess what you're allowed to do, so this should start with acceptance of your present situation.
Include your email address to get a message when this question is answered. It's much better to have a great friend for a lifetime than a short affair for a short time, so understand that a more intimate relationship might make things awkward between you two.
My Online Dating Profile Revealed
As the saying goes, "I would kill for a sweet girl like you, but I would die without great friends.