SHY GUYS- Should I ask for his #? ;)?

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-He's a sr I'm a jr in HS, He's the shyest/quietest guy I know/I'm kind of the opposite
-I've known him for 3 months.
-I started talking to him about music on twitter direct msg (like fb msg) & some tweets. He responds to like 4 messages & seems engaged in the convo, then stops- BUT it appears that he doesn't see them or forgets to check them? (I asked him if he knew a singer, he didn't reply. A week later I asked him and he answered as if it was the first time he saw the question)
-He blushes visibly at me and, as far as I know NOT around anyone else that I know. I noticed it at least 3-4 times, specifically when I look in his eyes & ask him questions/talk to him in person.
-He smiles & says hey when he sees me most of the time. Sometimes he starts a conversation, but it's almost always me.
-We have 0 classes. I usually see him for about 2 mins when I get my lunch from my orchestra locker which is in the same room as his band locker. We are alone.
-Sometimes I see him after school for drama club (set shop) but right now I'm taking a break from it for an ACT class & violin stuff.
-I will start to see him more often in 2 weeks bc the pit orchestra rehearses while crew (including him) works backstage for 3 hrs after school, and also bc I'm doing crew for the spring play, since there is no need of a pit orchestra, & he's doing it too
-We don't really have mutual friends (some of his friends don't like me...)


I want to get to know him but he doesn't talk a lot and we dont see each other much. I want to text him but... isn't the twitter thing (not always replying) kind of a bad sign? should I keep "chasing"? He might actually like me & is acting like this because he is, by nature, reallyyy quiet & shy. He doesn't often start the convo, but maybe he doesn't know what to say or have anything to say. But I really feel like I should have my turn being chased... Right?

SO, SHY GUYS.........Do I go for him, be direct, & ask for his #? Or wait for him to 'catch up' & actually put in more effort?