either one is fine, just depends what you feel better at.
you can be social, outgoing guy really fun when in a group, and really show off your personality to her in front of others. and let her see that side.
or you can go on a date, get to know each other personally, and see how you connect, then join ur friends for bbq and act more intimate in fron tof others if yall hit off.
personally, me im the quiet guy in front of others, and im more natural if im w/ just the girl alone. so i would go on the first date and then see if i can handle going out w/ her to public events.
know what i mean?
goodluck
