Short answer: this is why it's better to make a PHONE CALL when making plans versus text messaging - that way you can make all the plans at once and get instant responses vs. having messages suddenly stop without knowing the reason (driving while talking and suddenly saw a cop? phone died? disinterested? who knows??).
Also, don't ever, EVER play the whole "I'll send this message hoping she'll have a certain response" text. I had an ex send me a text saying "this relationship isn't working out, I think it's best if we not be together." To which I replied: "um... ok." I found out later she was expecting me to do the same thing you're expecting this girl to do - unfortunately, she doesn't have your script in her hands, so she's not going to know this is what you wanted her to do.
And yes, you over-reacted - even if she wasn't interested, it would have been better to find out by CALLING her for a date and having her either ignore your calls or hit you with "I'm busy" and not give a counter-offer to find out her true interest vs. trying to play some "response to message" game. Even if you think she's showing lack of interest, you NEVER COME ACROSS AS BUTT-HURT, which you did in your "nexting" message.