The main issue I see with your text game is that your over-investing and trying too hard to keep the conversation going. You don't have to always double text her with a question. It's okay to just make statements & wait for her to respond to them.

In terms of what to say next, go with "Of course, but don't worry I'll warm you up in no time ;)"

She seems pretty invested and up to it, ask to see what her schedule is like try setting a day/time