I'm looking for some sensible, helpful and hopefully experienced advice (I judge this thread to contain much more of this than the relationships forum).
To cut a long story short: there's a girl I really like and get along well with. We don't see each other much but we've been chatting for around a month. It's difficult to move things along because we both have such busy schedules. I had a plan to ask her (in very much a 'date' way) to this dinner that I'd managed to secure 2 tickets for (about £40 is quite a lot for a student and I was hoping she'd appreciate this). However, I've just heard that her friendship group are all headed to this dinner as well, and (because time is this running out this term and I don't have any good backup ideas) I'm at a bit of a loss as to what to do. I don't really know any of her friendship group also.
So there are 3 main ideas here (I definitely still want to ask her out);
1. Ask her if she's going, she says yes (with friends) and then suggest that a group of my friends and a group of hers sit by each other, (i.e. we sort of bridge the gap? I feel like this is demanding less but it's also not much of a date if so many others are there, and I also realise this could be a bit odd/awkward.
2. Ask her if she's going, she says yes, and I suggest or say that she cancels her ticket, gets her money back and just goes with me? I don't want to stop her going out with her friends, but I feel like this shows stronger intentions and maybe taking a harder line will go across better?
3. Just come up with some other way of inviting her to something, or wait (likely until after christmas). I don't really know what to do for this, I don't like having to settle for something "worse" and I don't want to take forever because then we might just settle into being friends...
I feel like a lot of girls would prefer to be sort-of told its a date and have the guy take charge - especially shy girls. But I also don't want to bully or just be mean about making her not spend time with her friends. Retrospectively, I should have asked her a few weeks ago but oh well. Of course, she could still say no and that would present the simplest solution, but I feel like things have gone well up until now.
Edit: also, one of the added complications here is that I have a bit of a (false) reputation for being a bit of a lad, and one of the reasons i want to ask her out properly and not just ask her over for a coffee is that I want to let her know she's special to me.