Sometimes we forget that girls often don't know how to deal with guys they like either. That's what I think is happening here. She's into you obviously but doesn't know what to do (I'm assuming she's young).
Text sux but if you have to and she's initiating just say, "well, just text me when you want to hang out." As you hate texting (I'm the same) you can be clear and firm and say "I really don't like texting. I like you and want to hang out with you but honestly can't be bothered texting back and forth. Just let me know when you want to hang out and ill do my best to make time.

" then leave it. Don't battle her, if she keeps texting bullshit after you've set a clear boundary, dump her (no I'm not joking).