Don't sit on the divan pining and eating bon-bons. "Thinking about our awesome time and can't wait to see you again" is a non-stalker way of saying you'd like a second date.
As my daughter often says "don't ask - don't get".
That only works with some guys. I think that if she responded with a nice “I had a great time too” after his text following the date - that’s enough. I personally, would let him be in the driver seat as I would want a guy that likes me enough to make effort. A lot of guys (not you Andrew) feel like they are getting more value when they have to do the work in courtship. If ginger hands it over and does the work it kind of changes that dynamic I believe she is seeking. It sounds like he is already smitten so give him the opportunity to court instead of taking on that role.