Classmate who was in my group probaby about an Hb 7.5 or 8. (9.5 face no body)

Tbh I kinda get along mostly by looks(moderately successful, not saying I’m chadded out) and anyways there’s this girl that was in my group. I passed one or two shit tests but also failed one or two as well(realized 30 seconds after what the correct response was)

To sum it up because I still get the vibe she thinks I look good I think I have a decent shot but because the other members of the group were present every time I was around her didn’t get the chance to be flirty or kino.(probably could have done more but I dropped the ball, not good at escalating in group environments)

Anyways found out she lives at res and have her on WhatsApp. My crib is not free but she’s on her own 5 minutes away from school. Like I said I haven’t been flirty cuz I couldn’t isolate her so it might come off as random for me to ask to chill at her crib, but that’s all I’m willing to do cuz she’s an airhead. Should I ask her to chill at her crib? And if so how to go about it? Keeping in mind I haven’t made it abundantly clear I’m tryna smash cuz in the class group I kept it professional w the group assignment thanks

TLDR; girl might be into me but haven’t done a lot of flirting. How to suggest going to her house if I should suggest at all?

Edit: typo