However, first of all, I didn't say that texting someone 48 hours after breaking up is considered stalking. What I did say was that there is a fine line between trying to get in touch and stalking. You mentioned texting her frequently during this time without getting a response from her. IMO, at this point if you don't hear from her at all, it's best not to text her again.
She's either very confused or playing head games with you. Instead of texting her, how about emailing her and getting right to the point? Ask her straight up what it is that she wants. Does she want to break off contact entirely? Does she want a break from keeping in touch? If so, how long a break? Let her know that if she wants a break from keeping in touch, that there will be no guarantee that you will be free to take up the relationship again. Let her know that you won't stay in limbo for long. You need to grieve then move on. After telling her all this, wait for her response. If she responds and says that she wants to end all contact, then respect her wishes and move on. If she wants a temporary break, write back and remind her that you may not be available when she is ready to get back together. Finally, if she doesn't answer your original email at all, take that as a sign that she considers the relationship to be over. Then leave it at that. Work on healing and getting over her.
If she continues to play head games, then YOU tell her you've had enough.
Best of luck with everything.