Is it alright to ask her for a date?

I'm just starting to drive now, and hope to get my license by next week. but anyways, there's this cute girl I've seen in person 3 times, chated her up on facebook once, and kept up from 10-2 texting one night. I was thinking something casual, then i thought of it: bowling alley.My mother and father both know I have feelings for her, and I think this would be a relativly pressure free date. my dad and her father are chummy already, and I was gonna drive to her house to get her, then the bowling, maybe some food afterwards, then (if it went awesome) try to kiss her. So tell me, what do you think?