if she wants fun, don't go walking around for 6 hours talking about nothing.
go somewhere that's actually fun!
pick her up mid afternoon for an early dinner, let the food sit for a bit, maybe have a drink or two. then head somewhere that you two can actually have FUN. try go karting, an arcade, the trampoline park(fucking awesome btw), castle fun theme park. somewhere the both of you can laugh at each other and with each other. going up to cypress at the end of the night seems a little obvious as to what you want lol. save that for the 2nd or 3rd date
anyways, after you guys have had fun on your date, do the ice cream thing like you said. if you know a place that's close to her home, park at the ice cream place and walk her home and just give her a kiss at the end of the night(no, not a make out session!) tell her you had fun and you think you two should do something again. then walk back to your car, go home, and rub one out like the rest of the world does after a first date
(unless you can score on the first date..if you can though..id be worried about her lol)