I went to an all night beach party (5 minutes from home) at nearly 14.
YANBU.
My mother never knew (not until last year, I'm now 39).
SINBU to want to go, I applaud her honesty for asking. You should not allow her to go.
I am glad my mum knew nothing about the party, glad for her, glad for me.
In your current situation, I think YABReasonable in trying to find a solution. Parties were very much secret in my day and I'm not sure it was a good thing (even with my romantic rose tinted backward looking glasses I can tell you it was probably not a good thing at all) I say, if you're looking for a balance, it your given situation, you best get the tent out. That to me is a decent solution.
If it helps. Your conundrum is something I applaud, I had to sneak out, mostly it was great but I got in major trouble one night. I applaud you because you acknowledge it's going to happen and are thinking how to make it happen safely.
Tent missus. Enjoy yourself whilst also being close enough (walking distance) for you dd.