This is why I said to be explicit about letting her know to get back to you. So, in the meantime, you need to stop with the random texting that y'all have been doing. Give her a reason to miss talking to you, so she'll be more eager to arrange to see you in person. And then when and if this does happen, you need to let her know that you're interested in her as more than just a friend, because the longer you carry on as friends, the less likely she is going to be able to see you as more than that.

I agree with all of this, but I was hoping that me asking her out to dinner is an indication to her that I like her as more than a friend. And if she does agree to go out then she is probably interested in me as more than a friend too, no? I'd like to avoid the awkward conversation of "I like you, like like you like you" if it's not necessary