Hi Rahl,
Hope your all good buddy. Next post you should include some jokes, being a stand up comedian

I'm tired and cold, and a laugh would be good to pass the time! haha.
Reading your post, I feel like I have to say maybe somethings you won't like - but being that your here and asking for advice, means you'll understand and listen to what I'm saying - even if its not 100% what you want to hear!
Firstly, this sounds very friend zone. I don't know how much you know about the whole PUA stuff (or whether you use it at all, haven't checked your profile I apologise) but this is a bad place to be.
All of her actions you describe either seem like 2 things. Friend Zone. Or a girl who likes you but is very shy to say so. And I mean really shy. From little clues in what you've written, I'm leaning more towards the first one. Thats the initial problem.
The second thing that is a problem here, is your attitude towards her. You come accross as pining - and no doubt may come across as a bit needy.
With those two problems, this plan will not work. Why would she chase a friend who starts ignoring her...or picking and choosing her texts (she'll only bait if she's attracted), or someone who she views as that friend who seems overly into her.
You have a few a choices, but one of them is to really try and get this girl out of your head. This is one thing I know from experience. The girl that you WANT. And I'm talking, your full focus on her. You will not get.
You need to ignore her for a bit yes, but if you want her attracted you need to wipe the slate clean. Don't talk to her for a few months and sort your head out. She should NOT be the only girl you want. You oneitis shouldn't be manageable. It should be totally controlled. Its alright to be into a girl; but don't let it form into oneitis unless your together.
After a long pause; initiate conversation again. Starting again - and having at least one significant change in your life that will be noticeable. A new hobby, or new attitude. And add alot more flirting into your conversation.
This is the last ditch attempt to get out of the friend zone.
Now I am by no means guaranteeing this will work or it's even right! As I am going on what you've said, and I obviously don't know you guys. But if anything here rings bells - go for it and don't just pass on it because of the strength of your oneitis.
Good luck, and remember. After 2 months of what seems like a close friendship, despite what your friend says, I don't think she will 'chase you'.
Hope it works out, let us know...no doubt this situation will make a good joke some day, so chin up man haha.
Riot.