Could that kind of response just be to be nice, and she doesn't actually want to go on a date? What other things would tell me she didn't feel up for it?
Her responses are usually quite good, with plenty of "hahahah" and !!!'s as well as ":))", and most of the time she seems to make an effort to carry on the convo.
Most Helpful Girl
It may sounds really stupid but I always add an extra kiss, if they up there's it's all good haha. Bring the date up again say "Hey so when are you free for out date, just trying to plan what to do". If she wants to meet you she will be eager. Good luck, you sound lovely!